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Finding the Fourth Proportional to 479.29, 660.56 and 412.73

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Solution

The fourth proportional to 479.29, 660.56 and 412.73 is: 568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.29 : 660.56 = 412.73 : x
  2. Step 2: Convert to fraction form
    479.29/660.56 = 412.73/x
  3. Step 3: Cross multiply
    479.29x = 660.56 × 412.73
  4. Step 4: Simplify right side
    479.29x = 272,630.66
  5. Step 5: Solve for x
    x = 272,630.66/479.29
  6. Step 6: Final answer
    x = 568.83

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