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Finding the Fourth Proportional to 542.26, 812.41 and 464.46

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Solution

The fourth proportional to 542.26, 812.41 and 464.46 is: 695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.26 : 812.41 = 464.46 : x
  2. Step 2: Convert to fraction form
    542.26/812.41 = 464.46/x
  3. Step 3: Cross multiply
    542.26x = 812.41 × 464.46
  4. Step 4: Simplify right side
    542.26x = 377,331.95
  5. Step 5: Solve for x
    x = 377,331.95/542.26
  6. Step 6: Final answer
    x = 695.86

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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.