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Finding the Fourth Proportional to 451.89, 674.56 and 397.22

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Solution

The fourth proportional to 451.89, 674.56 and 397.22 is: 592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.89 : 674.56 = 397.22 : x
  2. Step 2: Convert to fraction form
    451.89/674.56 = 397.22/x
  3. Step 3: Cross multiply
    451.89x = 674.56 × 397.22
  4. Step 4: Simplify right side
    451.89x = 267,944.36
  5. Step 5: Solve for x
    x = 267,944.36/451.89
  6. Step 6: Final answer
    x = 592.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.