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Finding the Fourth Proportional to 392.83, 542.11 and 235.41

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Solution

The fourth proportional to 392.83, 542.11 and 235.41 is: 324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.83 : 542.11 = 235.41 : x
  2. Step 2: Convert to fraction form
    392.83/542.11 = 235.41/x
  3. Step 3: Cross multiply
    392.83x = 542.11 × 235.41
  4. Step 4: Simplify right side
    392.83x = 127,615.99
  5. Step 5: Solve for x
    x = 127,615.99/392.83
  6. Step 6: Final answer
    x = 324.87

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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.