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Finding the Fourth Proportional to 392.16, 541.32 and 244.92

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Solution

The fourth proportional to 392.16, 541.32 and 244.92 is: 338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.16 : 541.32 = 244.92 : x
  2. Step 2: Convert to fraction form
    392.16/541.32 = 244.92/x
  3. Step 3: Cross multiply
    392.16x = 541.32 × 244.92
  4. Step 4: Simplify right side
    392.16x = 132,580.09
  5. Step 5: Solve for x
    x = 132,580.09/392.16
  6. Step 6: Final answer
    x = 338.08

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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.