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Finding the Fourth Proportional to 585.44, 878.20 and 392.48

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Solution

The fourth proportional to 585.44, 878.20 and 392.48 is: 588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.44 : 878.20 = 392.48 : x
  2. Step 2: Convert to fraction form
    585.44/878.20 = 392.48/x
  3. Step 3: Cross multiply
    585.44x = 878.20 × 392.48
  4. Step 4: Simplify right side
    585.44x = 344,675.94
  5. Step 5: Solve for x
    x = 344,675.94/585.44
  6. Step 6: Final answer
    x = 588.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.