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Finding the Fourth Proportional to 392.25, 541.13 and 252.33

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Solution

The fourth proportional to 392.25, 541.13 and 252.33 is: 348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.25 : 541.13 = 252.33 : x
  2. Step 2: Convert to fraction form
    392.25/541.13 = 252.33/x
  3. Step 3: Cross multiply
    392.25x = 541.13 × 252.33
  4. Step 4: Simplify right side
    392.25x = 136,543.33
  5. Step 5: Solve for x
    x = 136,543.33/392.25
  6. Step 6: Final answer
    x = 348.10

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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.