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Finding the Fourth Proportional to 487.88, 731.58 and 171.24

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Solution

The fourth proportional to 487.88, 731.58 and 171.24 is: 256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.88 : 731.58 = 171.24 : x
  2. Step 2: Convert to fraction form
    487.88/731.58 = 171.24/x
  3. Step 3: Cross multiply
    487.88x = 731.58 × 171.24
  4. Step 4: Simplify right side
    487.88x = 125,275.76
  5. Step 5: Solve for x
    x = 125,275.76/487.88
  6. Step 6: Final answer
    x = 256.78

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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.