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Finding the Fourth Proportional to 360.88, 541.27 and 216.25

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Solution

The fourth proportional to 360.88, 541.27 and 216.25 is: 324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.88 : 541.27 = 216.25 : x
  2. Step 2: Convert to fraction form
    360.88/541.27 = 216.25/x
  3. Step 3: Cross multiply
    360.88x = 541.27 × 216.25
  4. Step 4: Simplify right side
    360.88x = 117,049.64
  5. Step 5: Solve for x
    x = 117,049.64/360.88
  6. Step 6: Final answer
    x = 324.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.