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Finding the Fourth Proportional to 392.38, 541.43 and 224.31

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Solution

The fourth proportional to 392.38, 541.43 and 224.31 is: 309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.38 : 541.43 = 224.31 : x
  2. Step 2: Convert to fraction form
    392.38/541.43 = 224.31/x
  3. Step 3: Cross multiply
    392.38x = 541.43 × 224.31
  4. Step 4: Simplify right side
    392.38x = 121,448.16
  5. Step 5: Solve for x
    x = 121,448.16/392.38
  6. Step 6: Final answer
    x = 309.52

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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.