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Finding the Fourth Proportional to 487.76, 731.61 and 410.00

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Solution

The fourth proportional to 487.76, 731.61 and 410.00 is: 614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.76 : 731.61 = 410.00 : x
  2. Step 2: Convert to fraction form
    487.76/731.61 = 410.00/x
  3. Step 3: Cross multiply
    487.76x = 731.61 × 410.00
  4. Step 4: Simplify right side
    487.76x = 299,956.44
  5. Step 5: Solve for x
    x = 299,956.44/487.76
  6. Step 6: Final answer
    x = 614.97

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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.