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Finding the Fourth Proportional to 585.52, 878.58 and 239.11

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Solution

The fourth proportional to 585.52, 878.58 and 239.11 is: 358.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.52 : 878.58 = 239.11 : x
  2. Step 2: Convert to fraction form
    585.52/878.58 = 239.11/x
  3. Step 3: Cross multiply
    585.52x = 878.58 × 239.11
  4. Step 4: Simplify right side
    585.52x = 210,077.26
  5. Step 5: Solve for x
    x = 210,077.26/585.52
  6. Step 6: Final answer
    x = 358.79

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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.