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Finding the Fourth Proportional to 542.88, 813.52 and 427.60

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Solution

The fourth proportional to 542.88, 813.52 and 427.60 is: 640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.88 : 813.52 = 427.60 : x
  2. Step 2: Convert to fraction form
    542.88/813.52 = 427.60/x
  3. Step 3: Cross multiply
    542.88x = 813.52 × 427.60
  4. Step 4: Simplify right side
    542.88x = 347,863.79
  5. Step 5: Solve for x
    x = 347,863.79/542.88
  6. Step 6: Final answer
    x = 640.78

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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.