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Finding the Fourth Proportional to 586.16, 878.72 and 239.43

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Solution

The fourth proportional to 586.16, 878.72 and 239.43 is: 358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.16 : 878.72 = 239.43 : x
  2. Step 2: Convert to fraction form
    586.16/878.72 = 239.43/x
  3. Step 3: Cross multiply
    586.16x = 878.72 × 239.43
  4. Step 4: Simplify right side
    586.16x = 210,390.73
  5. Step 5: Solve for x
    x = 210,390.73/586.16
  6. Step 6: Final answer
    x = 358.93

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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.