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Finding the Fourth Proportional to 678.57, 1,017.84 and 216.34

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Solution

The fourth proportional to 678.57, 1,017.84 and 216.34 is: 324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.57 : 1,017.84 = 216.34 : x
  2. Step 2: Convert to fraction form
    678.57/1,017.84 = 216.34/x
  3. Step 3: Cross multiply
    678.57x = 1,017.84 × 216.34
  4. Step 4: Simplify right side
    678.57x = 220,193.33
  5. Step 5: Solve for x
    x = 220,193.33/678.57
  6. Step 6: Final answer
    x = 324.50

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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.