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Finding the Fourth Proportional to 508.62, 763.32 and 265.14

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Solution

The fourth proportional to 508.62, 763.32 and 265.14 is: 397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.62 : 763.32 = 265.14 : x
  2. Step 2: Convert to fraction form
    508.62/763.32 = 265.14/x
  3. Step 3: Cross multiply
    508.62x = 763.32 × 265.14
  4. Step 4: Simplify right side
    508.62x = 202,386.66
  5. Step 5: Solve for x
    x = 202,386.66/508.62
  6. Step 6: Final answer
    x = 397.91

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