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Finding the Fourth Proportional to 392.74, 541.74 and 252.82

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Solution

The fourth proportional to 392.74, 541.74 and 252.82 is: 348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.74 : 541.74 = 252.82 : x
  2. Step 2: Convert to fraction form
    392.74/541.74 = 252.82/x
  3. Step 3: Cross multiply
    392.74x = 541.74 × 252.82
  4. Step 4: Simplify right side
    392.74x = 136,962.71
  5. Step 5: Solve for x
    x = 136,962.71/392.74
  6. Step 6: Final answer
    x = 348.74

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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.