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Finding the Fourth Proportional to 392.57, 541.67 and 217.88

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Solution

The fourth proportional to 392.57, 541.67 and 217.88 is: 300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.57 : 541.67 = 217.88 : x
  2. Step 2: Convert to fraction form
    392.57/541.67 = 217.88/x
  3. Step 3: Cross multiply
    392.57x = 541.67 × 217.88
  4. Step 4: Simplify right side
    392.57x = 118,019.06
  5. Step 5: Solve for x
    x = 118,019.06/392.57
  6. Step 6: Final answer
    x = 300.63

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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.