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Finding the Fourth Proportional to 566.60, 781.97 and 409.73

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Solution

The fourth proportional to 566.60, 781.97 and 409.73 is: 565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.60 : 781.97 = 409.73 : x
  2. Step 2: Convert to fraction form
    566.60/781.97 = 409.73/x
  3. Step 3: Cross multiply
    566.60x = 781.97 × 409.73
  4. Step 4: Simplify right side
    566.60x = 320,390.61
  5. Step 5: Solve for x
    x = 320,390.61/566.60
  6. Step 6: Final answer
    x = 565.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.