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Finding the Fourth Proportional to 542.04, 746.82 and 489.52

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Solution

The fourth proportional to 542.04, 746.82 and 489.52 is: 674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.04 : 746.82 = 489.52 : x
  2. Step 2: Convert to fraction form
    542.04/746.82 = 489.52/x
  3. Step 3: Cross multiply
    542.04x = 746.82 × 489.52
  4. Step 4: Simplify right side
    542.04x = 365,583.33
  5. Step 5: Solve for x
    x = 365,583.33/542.04
  6. Step 6: Final answer
    x = 674.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.