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Finding the Fourth Proportional to 558.38, 837.12 and 284.80

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Solution

The fourth proportional to 558.38, 837.12 and 284.80 is: 426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.38 : 837.12 = 284.80 : x
  2. Step 2: Convert to fraction form
    558.38/837.12 = 284.80/x
  3. Step 3: Cross multiply
    558.38x = 837.12 × 284.80
  4. Step 4: Simplify right side
    558.38x = 238,411.78
  5. Step 5: Solve for x
    x = 238,411.78/558.38
  6. Step 6: Final answer
    x = 426.97

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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.