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Finding the Fourth Proportional to 542.23, 812.70 and 217.42

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Solution

The fourth proportional to 542.23, 812.70 and 217.42 is: 325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.23 : 812.70 = 217.42 : x
  2. Step 2: Convert to fraction form
    542.23/812.70 = 217.42/x
  3. Step 3: Cross multiply
    542.23x = 812.70 × 217.42
  4. Step 4: Simplify right side
    542.23x = 176,695.20
  5. Step 5: Solve for x
    x = 176,695.20/542.23
  6. Step 6: Final answer
    x = 325.87

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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.