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Finding the Fourth Proportional to 392.86, 542.10 and 233.32

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Solution

The fourth proportional to 392.86, 542.10 and 233.32 is: 321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.86 : 542.10 = 233.32 : x
  2. Step 2: Convert to fraction form
    392.86/542.10 = 233.32/x
  3. Step 3: Cross multiply
    392.86x = 542.10 × 233.32
  4. Step 4: Simplify right side
    392.86x = 126,482.77
  5. Step 5: Solve for x
    x = 126,482.77/392.86
  6. Step 6: Final answer
    x = 321.95

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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.