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Finding the Fourth Proportional to 392.06, 541.06 and 217.42

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Solution

The fourth proportional to 392.06, 541.06 and 217.42 is: 300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.06 : 541.06 = 217.42 : x
  2. Step 2: Convert to fraction form
    392.06/541.06 = 217.42/x
  3. Step 3: Cross multiply
    392.06x = 541.06 × 217.42
  4. Step 4: Simplify right side
    392.06x = 117,635.37
  5. Step 5: Solve for x
    x = 117,635.37/392.06
  6. Step 6: Final answer
    x = 300.04

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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.