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Finding the Fourth Proportional to 585.38, 871.41 and 558.83

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Solution

The fourth proportional to 585.38, 871.41 and 558.83 is: 831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.38 : 871.41 = 558.83 : x
  2. Step 2: Convert to fraction form
    585.38/871.41 = 558.83/x
  3. Step 3: Cross multiply
    585.38x = 871.41 × 558.83
  4. Step 4: Simplify right side
    585.38x = 486,965.69
  5. Step 5: Solve for x
    x = 486,965.69/585.38
  6. Step 6: Final answer
    x = 831.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.