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Finding the Fourth Proportional to 508.70, 763.37 and 265.40

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Solution

The fourth proportional to 508.70, 763.37 and 265.40 is: 398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.70 : 763.37 = 265.40 : x
  2. Step 2: Convert to fraction form
    508.70/763.37 = 265.40/x
  3. Step 3: Cross multiply
    508.70x = 763.37 × 265.40
  4. Step 4: Simplify right side
    508.70x = 202,593.25
  5. Step 5: Solve for x
    x = 202,593.25/508.70
  6. Step 6: Final answer
    x = 398.26

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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.