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Finding the Fourth Proportional to 508.87, 763.31 and 264.89

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Solution

The fourth proportional to 508.87, 763.31 and 264.89 is: 397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.87 : 763.31 = 264.89 : x
  2. Step 2: Convert to fraction form
    508.87/763.31 = 264.89/x
  3. Step 3: Cross multiply
    508.87x = 763.31 × 264.89
  4. Step 4: Simplify right side
    508.87x = 202,193.19
  5. Step 5: Solve for x
    x = 202,193.19/508.87
  6. Step 6: Final answer
    x = 397.34

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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.