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Finding the Fourth Proportional to 487.71, 731.61 and 406.35

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Solution

The fourth proportional to 487.71, 731.61 and 406.35 is: 609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.71 : 731.61 = 406.35 : x
  2. Step 2: Convert to fraction form
    487.71/731.61 = 406.35/x
  3. Step 3: Cross multiply
    487.71x = 731.61 × 406.35
  4. Step 4: Simplify right side
    487.71x = 297,289.72
  5. Step 5: Solve for x
    x = 297,289.72/487.71
  6. Step 6: Final answer
    x = 609.56

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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.