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Finding the Fourth Proportional to 542.34, 747.45 and 394.74

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Solution

The fourth proportional to 542.34, 747.45 and 394.74 is: 544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.34 : 747.45 = 394.74 : x
  2. Step 2: Convert to fraction form
    542.34/747.45 = 394.74/x
  3. Step 3: Cross multiply
    542.34x = 747.45 × 394.74
  4. Step 4: Simplify right side
    542.34x = 295,048.41
  5. Step 5: Solve for x
    x = 295,048.41/542.34
  6. Step 6: Final answer
    x = 544.03

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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.