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Finding the Fourth Proportional to 392.74, 542.26 and 295.03

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Solution

The fourth proportional to 392.74, 542.26 and 295.03 is: 407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.74 : 542.26 = 295.03 : x
  2. Step 2: Convert to fraction form
    392.74/542.26 = 295.03/x
  3. Step 3: Cross multiply
    392.74x = 542.26 × 295.03
  4. Step 4: Simplify right side
    392.74x = 159,982.97
  5. Step 5: Solve for x
    x = 159,982.97/392.74
  6. Step 6: Final answer
    x = 407.35

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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.