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Finding the Fourth Proportional to 508.32, 761.60 and 247.97

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Solution

The fourth proportional to 508.32, 761.60 and 247.97 is: 371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.32 : 761.60 = 247.97 : x
  2. Step 2: Convert to fraction form
    508.32/761.60 = 247.97/x
  3. Step 3: Cross multiply
    508.32x = 761.60 × 247.97
  4. Step 4: Simplify right side
    508.32x = 188,848.90
  5. Step 5: Solve for x
    x = 188,848.90/508.32
  6. Step 6: Final answer
    x = 371.52

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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.