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Finding the Fourth Proportional to 500.76, 690.84 and 304.20

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Solution

The fourth proportional to 500.76, 690.84 and 304.20 is: 419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.76 : 690.84 = 304.20 : x
  2. Step 2: Convert to fraction form
    500.76/690.84 = 304.20/x
  3. Step 3: Cross multiply
    500.76x = 690.84 × 304.20
  4. Step 4: Simplify right side
    500.76x = 210,153.53
  5. Step 5: Solve for x
    x = 210,153.53/500.76
  6. Step 6: Final answer
    x = 419.67

Related Problems

Find fourth proportional to 250.38, 345.42 and 152.10
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Double scale
Find fourth proportional to 501.76, 692.22 and 305.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.