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Finding the Fourth Proportional to 360.78, 541.26 and 216.42

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Solution

The fourth proportional to 360.78, 541.26 and 216.42 is: 324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.78 : 541.26 = 216.42 : x
  2. Step 2: Convert to fraction form
    360.78/541.26 = 216.42/x
  3. Step 3: Cross multiply
    360.78x = 541.26 × 216.42
  4. Step 4: Simplify right side
    360.78x = 117,139.49
  5. Step 5: Solve for x
    x = 117,139.49/360.78
  6. Step 6: Final answer
    x = 324.68

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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.