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Finding the Fourth Proportional to 508.50, 763.14 and 265.01

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Solution

The fourth proportional to 508.50, 763.14 and 265.01 is: 397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.50 : 763.14 = 265.01 : x
  2. Step 2: Convert to fraction form
    508.50/763.14 = 265.01/x
  3. Step 3: Cross multiply
    508.50x = 763.14 × 265.01
  4. Step 4: Simplify right side
    508.50x = 202,234.59
  5. Step 5: Solve for x
    x = 202,234.59/508.50
  6. Step 6: Final answer
    x = 397.71

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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.