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Finding the Fourth Proportional to 542.82, 812.18 and 337.34

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Solution

The fourth proportional to 542.82, 812.18 and 337.34 is: 504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.82 : 812.18 = 337.34 : x
  2. Step 2: Convert to fraction form
    542.82/812.18 = 337.34/x
  3. Step 3: Cross multiply
    542.82x = 812.18 × 337.34
  4. Step 4: Simplify right side
    542.82x = 273,980.80
  5. Step 5: Solve for x
    x = 273,980.80/542.82
  6. Step 6: Final answer
    x = 504.74

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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.