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Finding the Fourth Proportional to 392.14, 541.17 and 374.74

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Solution

The fourth proportional to 392.14, 541.17 and 374.74 is: 517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.14 : 541.17 = 374.74 : x
  2. Step 2: Convert to fraction form
    392.14/541.17 = 374.74/x
  3. Step 3: Cross multiply
    392.14x = 541.17 × 374.74
  4. Step 4: Simplify right side
    392.14x = 202,798.05
  5. Step 5: Solve for x
    x = 202,798.05/392.14
  6. Step 6: Final answer
    x = 517.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.