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Finding the Fourth Proportional to 600.86, 901.11 and 216.14

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Solution

The fourth proportional to 600.86, 901.11 and 216.14 is: 324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.86 : 901.11 = 216.14 : x
  2. Step 2: Convert to fraction form
    600.86/901.11 = 216.14/x
  3. Step 3: Cross multiply
    600.86x = 901.11 × 216.14
  4. Step 4: Simplify right side
    600.86x = 194,765.92
  5. Step 5: Solve for x
    x = 194,765.92/600.86
  6. Step 6: Final answer
    x = 324.15

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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.