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Finding the Fourth Proportional to 578.30, 867.44 and 253.67

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Solution

The fourth proportional to 578.30, 867.44 and 253.67 is: 380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.30 : 867.44 = 253.67 : x
  2. Step 2: Convert to fraction form
    578.30/867.44 = 253.67/x
  3. Step 3: Cross multiply
    578.30x = 867.44 × 253.67
  4. Step 4: Simplify right side
    578.30x = 220,039.80
  5. Step 5: Solve for x
    x = 220,039.80/578.30
  6. Step 6: Final answer
    x = 380.50

Related Problems

Find fourth proportional to 289.15, 433.72 and 126.83
Half scale
Find fourth proportional to 1,156.59, 1,734.89 and 507.33
Double scale
Find fourth proportional to 579.30, 868.94 and 254.67
Similar ratio
Find fourth proportional to 867.44, 1,301.16 and 380.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.