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Finding the Fourth Proportional to 497.43, 744.25 and 366.57

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Solution

The fourth proportional to 497.43, 744.25 and 366.57 is: 548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.43 : 744.25 = 366.57 : x
  2. Step 2: Convert to fraction form
    497.43/744.25 = 366.57/x
  3. Step 3: Cross multiply
    497.43x = 744.25 × 366.57
  4. Step 4: Simplify right side
    497.43x = 272,819.72
  5. Step 5: Solve for x
    x = 272,819.72/497.43
  6. Step 6: Final answer
    x = 548.46

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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.