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Finding the Fourth Proportional to 542.32, 813.28 and 195.60

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Solution

The fourth proportional to 542.32, 813.28 and 195.60 is: 293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.32 : 813.28 = 195.60 : x
  2. Step 2: Convert to fraction form
    542.32/813.28 = 195.60/x
  3. Step 3: Cross multiply
    542.32x = 813.28 × 195.60
  4. Step 4: Simplify right side
    542.32x = 159,077.57
  5. Step 5: Solve for x
    x = 159,077.57/542.32
  6. Step 6: Final answer
    x = 293.33

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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.