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Finding the Fourth Proportional to 392.56, 541.36 and 314.14

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Solution

The fourth proportional to 392.56, 541.36 and 314.14 is: 433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.56 : 541.36 = 314.14 : x
  2. Step 2: Convert to fraction form
    392.56/541.36 = 314.14/x
  3. Step 3: Cross multiply
    392.56x = 541.36 × 314.14
  4. Step 4: Simplify right side
    392.56x = 170,062.83
  5. Step 5: Solve for x
    x = 170,062.83/392.56
  6. Step 6: Final answer
    x = 433.21

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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.