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Finding the Fourth Proportional to 387.60, 580.02 and 241.44

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Solution

The fourth proportional to 387.60, 580.02 and 241.44 is: 361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.60 : 580.02 = 241.44 : x
  2. Step 2: Convert to fraction form
    387.60/580.02 = 241.44/x
  3. Step 3: Cross multiply
    387.60x = 580.02 × 241.44
  4. Step 4: Simplify right side
    387.60x = 140,040.03
  5. Step 5: Solve for x
    x = 140,040.03/387.60
  6. Step 6: Final answer
    x = 361.30

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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.