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Finding the Fourth Proportional to 424.14, 584.92 and 282.29

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Solution

The fourth proportional to 424.14, 584.92 and 282.29 is: 389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.14 : 584.92 = 282.29 : x
  2. Step 2: Convert to fraction form
    424.14/584.92 = 282.29/x
  3. Step 3: Cross multiply
    424.14x = 584.92 × 282.29
  4. Step 4: Simplify right side
    424.14x = 165,113.44
  5. Step 5: Solve for x
    x = 165,113.44/424.14
  6. Step 6: Final answer
    x = 389.29

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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.