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Finding the Fourth Proportional to 387.03, 580.53 and 98.48

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Solution

The fourth proportional to 387.03, 580.53 and 98.48 is: 147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.03 : 580.53 = 98.48 : x
  2. Step 2: Convert to fraction form
    387.03/580.53 = 98.48/x
  3. Step 3: Cross multiply
    387.03x = 580.53 × 98.48
  4. Step 4: Simplify right side
    387.03x = 57,167.69
  5. Step 5: Solve for x
    x = 57,167.69/387.03
  6. Step 6: Final answer
    x = 147.71

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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.