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Finding the Fourth Proportional to 588.41, 878.39 and 545.69

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Solution

The fourth proportional to 588.41, 878.39 and 545.69 is: 814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.41 : 878.39 = 545.69 : x
  2. Step 2: Convert to fraction form
    588.41/878.39 = 545.69/x
  3. Step 3: Cross multiply
    588.41x = 878.39 × 545.69
  4. Step 4: Simplify right side
    588.41x = 479,325.91
  5. Step 5: Solve for x
    x = 479,325.91/588.41
  6. Step 6: Final answer
    x = 814.61

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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.