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Finding the Fourth Proportional to 487.29, 730.92 and 140.64

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Solution

The fourth proportional to 487.29, 730.92 and 140.64 is: 210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.29 : 730.92 = 140.64 : x
  2. Step 2: Convert to fraction form
    487.29/730.92 = 140.64/x
  3. Step 3: Cross multiply
    487.29x = 730.92 × 140.64
  4. Step 4: Simplify right side
    487.29x = 102,796.59
  5. Step 5: Solve for x
    x = 102,796.59/487.29
  6. Step 6: Final answer
    x = 210.96

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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.