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Finding the Fourth Proportional to 387.48, 580.56 and 284.80

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Solution

The fourth proportional to 387.48, 580.56 and 284.80 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.48 : 580.56 = 284.80 : x
  2. Step 2: Convert to fraction form
    387.48/580.56 = 284.80/x
  3. Step 3: Cross multiply
    387.48x = 580.56 × 284.80
  4. Step 4: Simplify right side
    387.48x = 165,343.49
  5. Step 5: Solve for x
    x = 165,343.49/387.48
  6. Step 6: Final answer
    x = 426.71

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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.