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Finding the Fourth Proportional to 509.11, 763.76 and 462.74

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Solution

The fourth proportional to 509.11, 763.76 and 462.74 is: 694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.11 : 763.76 = 462.74 : x
  2. Step 2: Convert to fraction form
    509.11/763.76 = 462.74/x
  3. Step 3: Cross multiply
    509.11x = 763.76 × 462.74
  4. Step 4: Simplify right side
    509.11x = 353,419.64
  5. Step 5: Solve for x
    x = 353,419.64/509.11
  6. Step 6: Final answer
    x = 694.19

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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.