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Finding the Fourth Proportional to 424.33, 585.49 and 284.63

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Solution

The fourth proportional to 424.33, 585.49 and 284.63 is: 392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.33 : 585.49 = 284.63 : x
  2. Step 2: Convert to fraction form
    424.33/585.49 = 284.63/x
  3. Step 3: Cross multiply
    424.33x = 585.49 × 284.63
  4. Step 4: Simplify right side
    424.33x = 166,644.38
  5. Step 5: Solve for x
    x = 166,644.38/424.33
  6. Step 6: Final answer
    x = 392.72

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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.