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Finding the Fourth Proportional to 392.74, 541.86 and 235.31

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Solution

The fourth proportional to 392.74, 541.86 and 235.31 is: 324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.74 : 541.86 = 235.31 : x
  2. Step 2: Convert to fraction form
    392.74/541.86 = 235.31/x
  3. Step 3: Cross multiply
    392.74x = 541.86 × 235.31
  4. Step 4: Simplify right side
    392.74x = 127,502.37
  5. Step 5: Solve for x
    x = 127,502.37/392.74
  6. Step 6: Final answer
    x = 324.65

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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.