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Finding the Fourth Proportional to 588.07, 878.24 and 472.69

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Solution

The fourth proportional to 588.07, 878.24 and 472.69 is: 705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.07 : 878.24 = 472.69 : x
  2. Step 2: Convert to fraction form
    588.07/878.24 = 472.69/x
  3. Step 3: Cross multiply
    588.07x = 878.24 × 472.69
  4. Step 4: Simplify right side
    588.07x = 415,135.27
  5. Step 5: Solve for x
    x = 415,135.27/588.07
  6. Step 6: Final answer
    x = 705.93

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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.