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Finding the Fourth Proportional to 542.17, 812.31 and 451.45

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Solution

The fourth proportional to 542.17, 812.31 and 451.45 is: 676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.17 : 812.31 = 451.45 : x
  2. Step 2: Convert to fraction form
    542.17/812.31 = 451.45/x
  3. Step 3: Cross multiply
    542.17x = 812.31 × 451.45
  4. Step 4: Simplify right side
    542.17x = 366,717.35
  5. Step 5: Solve for x
    x = 366,717.35/542.17
  6. Step 6: Final answer
    x = 676.39

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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.