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Finding the Fourth Proportional to 392.25, 541.32 and 217.59

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Solution

The fourth proportional to 392.25, 541.32 and 217.59 is: 300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.25 : 541.32 = 217.59 : x
  2. Step 2: Convert to fraction form
    392.25/541.32 = 217.59/x
  3. Step 3: Cross multiply
    392.25x = 541.32 × 217.59
  4. Step 4: Simplify right side
    392.25x = 117,785.82
  5. Step 5: Solve for x
    x = 117,785.82/392.25
  6. Step 6: Final answer
    x = 300.28

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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.