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Finding the Fourth Proportional to 542.55, 813.21 and 253.38

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Solution

The fourth proportional to 542.55, 813.21 and 253.38 is: 379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.55 : 813.21 = 253.38 : x
  2. Step 2: Convert to fraction form
    542.55/813.21 = 253.38/x
  3. Step 3: Cross multiply
    542.55x = 813.21 × 253.38
  4. Step 4: Simplify right side
    542.55x = 206,051.15
  5. Step 5: Solve for x
    x = 206,051.15/542.55
  6. Step 6: Final answer
    x = 379.78

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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.