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Finding the Fourth Proportional to 585.66, 878.58 and 239.16

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Solution

The fourth proportional to 585.66, 878.58 and 239.16 is: 358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.66 : 878.58 = 239.16 : x
  2. Step 2: Convert to fraction form
    585.66/878.58 = 239.16/x
  3. Step 3: Cross multiply
    585.66x = 878.58 × 239.16
  4. Step 4: Simplify right side
    585.66x = 210,121.19
  5. Step 5: Solve for x
    x = 210,121.19/585.66
  6. Step 6: Final answer
    x = 358.78

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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.