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Finding the Fourth Proportional to 542.44, 812.80 and 311.04

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Solution

The fourth proportional to 542.44, 812.80 and 311.04 is: 466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.44 : 812.80 = 311.04 : x
  2. Step 2: Convert to fraction form
    542.44/812.80 = 311.04/x
  3. Step 3: Cross multiply
    542.44x = 812.80 × 311.04
  4. Step 4: Simplify right side
    542.44x = 252,813.31
  5. Step 5: Solve for x
    x = 252,813.31/542.44
  6. Step 6: Final answer
    x = 466.07

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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.