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Finding the Fourth Proportional to 424.47, 588.24 and 416.27

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Solution

The fourth proportional to 424.47, 588.24 and 416.27 is: 576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.47 : 588.24 = 416.27 : x
  2. Step 2: Convert to fraction form
    424.47/588.24 = 416.27/x
  3. Step 3: Cross multiply
    424.47x = 588.24 × 416.27
  4. Step 4: Simplify right side
    424.47x = 244,864.58
  5. Step 5: Solve for x
    x = 244,864.58/424.47
  6. Step 6: Final answer
    x = 576.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.