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Finding the Fourth Proportional to 372.40, 559.20 and 281.20

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Solution

The fourth proportional to 372.40, 559.20 and 281.20 is: 422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.40 : 559.20 = 281.20 : x
  2. Step 2: Convert to fraction form
    372.40/559.20 = 281.20/x
  3. Step 3: Cross multiply
    372.40x = 559.20 × 281.20
  4. Step 4: Simplify right side
    372.40x = 157,247.04
  5. Step 5: Solve for x
    x = 157,247.04/372.40
  6. Step 6: Final answer
    x = 422.25

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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.