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Finding the Fourth Proportional to 542.58, 747.72 and 394.98

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Solution

The fourth proportional to 542.58, 747.72 and 394.98 is: 544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.58 : 747.72 = 394.98 : x
  2. Step 2: Convert to fraction form
    542.58/747.72 = 394.98/x
  3. Step 3: Cross multiply
    542.58x = 747.72 × 394.98
  4. Step 4: Simplify right side
    542.58x = 295,334.45
  5. Step 5: Solve for x
    x = 295,334.45/542.58
  6. Step 6: Final answer
    x = 544.32

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Why These Related Problems?

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