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Finding the Fourth Proportional to 387.48, 580.17 and 283.98

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Solution

The fourth proportional to 387.48, 580.17 and 283.98 is: 425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.48 : 580.17 = 283.98 : x
  2. Step 2: Convert to fraction form
    387.48/580.17 = 283.98/x
  3. Step 3: Cross multiply
    387.48x = 580.17 × 283.98
  4. Step 4: Simplify right side
    387.48x = 164,756.68
  5. Step 5: Solve for x
    x = 164,756.68/387.48
  6. Step 6: Final answer
    x = 425.20

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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.