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Finding the Fourth Proportional to 392.56, 541.74 and 235.15

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Solution

The fourth proportional to 392.56, 541.74 and 235.15 is: 324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.56 : 541.74 = 235.15 : x
  2. Step 2: Convert to fraction form
    392.56/541.74 = 235.15/x
  3. Step 3: Cross multiply
    392.56x = 541.74 × 235.15
  4. Step 4: Simplify right side
    392.56x = 127,390.16
  5. Step 5: Solve for x
    x = 127,390.16/392.56
  6. Step 6: Final answer
    x = 324.51

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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.