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Finding the Fourth Proportional to 285.32, 427.17 and 216.44

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Solution

The fourth proportional to 285.32, 427.17 and 216.44 is: 324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.32 : 427.17 = 216.44 : x
  2. Step 2: Convert to fraction form
    285.32/427.17 = 216.44/x
  3. Step 3: Cross multiply
    285.32x = 427.17 × 216.44
  4. Step 4: Simplify right side
    285.32x = 92,456.67
  5. Step 5: Solve for x
    x = 92,456.67/285.32
  6. Step 6: Final answer
    x = 324.05

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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.