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Finding the Fourth Proportional to 362.40, 542.40 and 254.40

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Solution

The fourth proportional to 362.40, 542.40 and 254.40 is: 380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.40 : 542.40 = 254.40 : x
  2. Step 2: Convert to fraction form
    362.40/542.40 = 254.40/x
  3. Step 3: Cross multiply
    362.40x = 542.40 × 254.40
  4. Step 4: Simplify right side
    362.40x = 137,986.56
  5. Step 5: Solve for x
    x = 137,986.56/362.40
  6. Step 6: Final answer
    x = 380.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.