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Finding the Fourth Proportional to 578.19, 867.05 and 253.56

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Solution

The fourth proportional to 578.19, 867.05 and 253.56 is: 380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.19 : 867.05 = 253.56 : x
  2. Step 2: Convert to fraction form
    578.19/867.05 = 253.56/x
  3. Step 3: Cross multiply
    578.19x = 867.05 × 253.56
  4. Step 4: Simplify right side
    578.19x = 219,846.24
  5. Step 5: Solve for x
    x = 219,846.24/578.19
  6. Step 6: Final answer
    x = 380.23

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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.