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Finding the Fourth Proportional to 508.28, 763.12 and 467.52

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Solution

The fourth proportional to 508.28, 763.12 and 467.52 is: 701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.28 : 763.12 = 467.52 : x
  2. Step 2: Convert to fraction form
    508.28/763.12 = 467.52/x
  3. Step 3: Cross multiply
    508.28x = 763.12 × 467.52
  4. Step 4: Simplify right side
    508.28x = 356,775.88
  5. Step 5: Solve for x
    x = 356,775.88/508.28
  6. Step 6: Final answer
    x = 701.93

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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.