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Finding the Fourth Proportional to 585.65, 878.24 and 239.16

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Solution

The fourth proportional to 585.65, 878.24 and 239.16 is: 358.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.65 : 878.24 = 239.16 : x
  2. Step 2: Convert to fraction form
    585.65/878.24 = 239.16/x
  3. Step 3: Cross multiply
    585.65x = 878.24 × 239.16
  4. Step 4: Simplify right side
    585.65x = 210,043.77
  5. Step 5: Solve for x
    x = 210,043.77/585.65
  6. Step 6: Final answer
    x = 358.65

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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.