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Finding the Fourth Proportional to 508.71, 762.89 and 354.70

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Solution

The fourth proportional to 508.71, 762.89 and 354.70 is: 531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.71 : 762.89 = 354.70 : x
  2. Step 2: Convert to fraction form
    508.71/762.89 = 354.70/x
  3. Step 3: Cross multiply
    508.71x = 762.89 × 354.70
  4. Step 4: Simplify right side
    508.71x = 270,599.16
  5. Step 5: Solve for x
    x = 270,599.16/508.71
  6. Step 6: Final answer
    x = 531.94

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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.