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Finding the Fourth Proportional to 392.75, 542.59 and 365.41

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Solution

The fourth proportional to 392.75, 542.59 and 365.41 is: 504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.75 : 542.59 = 365.41 : x
  2. Step 2: Convert to fraction form
    392.75/542.59 = 365.41/x
  3. Step 3: Cross multiply
    392.75x = 542.59 × 365.41
  4. Step 4: Simplify right side
    392.75x = 198,267.81
  5. Step 5: Solve for x
    x = 198,267.81/392.75
  6. Step 6: Final answer
    x = 504.82

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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.