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Finding the Fourth Proportional to 389.34, 584.82 and 282.42

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Solution

The fourth proportional to 389.34, 584.82 and 282.42 is: 424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.34 : 584.82 = 282.42 : x
  2. Step 2: Convert to fraction form
    389.34/584.82 = 282.42/x
  3. Step 3: Cross multiply
    389.34x = 584.82 × 282.42
  4. Step 4: Simplify right side
    389.34x = 165,164.86
  5. Step 5: Solve for x
    x = 165,164.86/389.34
  6. Step 6: Final answer
    x = 424.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.