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Finding the Fourth Proportional to 392.25, 541.14 and 252.12

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Solution

The fourth proportional to 392.25, 541.14 and 252.12 is: 347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.25 : 541.14 = 252.12 : x
  2. Step 2: Convert to fraction form
    392.25/541.14 = 252.12/x
  3. Step 3: Cross multiply
    392.25x = 541.14 × 252.12
  4. Step 4: Simplify right side
    392.25x = 136,432.22
  5. Step 5: Solve for x
    x = 136,432.22/392.25
  6. Step 6: Final answer
    x = 347.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.