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Finding the Fourth Proportional to 588.73, 883.14 and 155.88

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Solution

The fourth proportional to 588.73, 883.14 and 155.88 is: 233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.73 : 883.14 = 155.88 : x
  2. Step 2: Convert to fraction form
    588.73/883.14 = 155.88/x
  3. Step 3: Cross multiply
    588.73x = 883.14 × 155.88
  4. Step 4: Simplify right side
    588.73x = 137,663.86
  5. Step 5: Solve for x
    x = 137,663.86/588.73
  6. Step 6: Final answer
    x = 233.83

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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.