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Finding the Fourth Proportional to 678.66, 1,017.96 and 216.42

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Solution

The fourth proportional to 678.66, 1,017.96 and 216.42 is: 324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.66 : 1,017.96 = 216.42 : x
  2. Step 2: Convert to fraction form
    678.66/1,017.96 = 216.42/x
  3. Step 3: Cross multiply
    678.66x = 1,017.96 × 216.42
  4. Step 4: Simplify right side
    678.66x = 220,306.90
  5. Step 5: Solve for x
    x = 220,306.90/678.66
  6. Step 6: Final answer
    x = 324.62

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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.