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Finding the Fourth Proportional to 542.37, 812.38 and 311.15

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Solution

The fourth proportional to 542.37, 812.38 and 311.15 is: 466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.37 : 812.38 = 311.15 : x
  2. Step 2: Convert to fraction form
    542.37/812.38 = 311.15/x
  3. Step 3: Cross multiply
    542.37x = 812.38 × 311.15
  4. Step 4: Simplify right side
    542.37x = 252,772.04
  5. Step 5: Solve for x
    x = 252,772.04/542.37
  6. Step 6: Final answer
    x = 466.05

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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.