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Finding the Fourth Proportional to 424.67, 584.74 and 371.91

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Solution

The fourth proportional to 424.67, 584.74 and 371.91 is: 512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.67 : 584.74 = 371.91 : x
  2. Step 2: Convert to fraction form
    424.67/584.74 = 371.91/x
  3. Step 3: Cross multiply
    424.67x = 584.74 × 371.91
  4. Step 4: Simplify right side
    424.67x = 217,470.65
  5. Step 5: Solve for x
    x = 217,470.65/424.67
  6. Step 6: Final answer
    x = 512.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.