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Finding the Fourth Proportional to 678.35, 1,017.52 and 216.12

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Solution

The fourth proportional to 678.35, 1,017.52 and 216.12 is: 324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.35 : 1,017.52 = 216.12 : x
  2. Step 2: Convert to fraction form
    678.35/1,017.52 = 216.12/x
  3. Step 3: Cross multiply
    678.35x = 1,017.52 × 216.12
  4. Step 4: Simplify right side
    678.35x = 219,909.70
  5. Step 5: Solve for x
    x = 219,909.70/678.35
  6. Step 6: Final answer
    x = 324.18

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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.