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Finding the Fourth Proportional to 678.05, 1,017.08 and 215.83

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Solution

The fourth proportional to 678.05, 1,017.08 and 215.83 is: 323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.05 : 1,017.08 = 215.83 : x
  2. Step 2: Convert to fraction form
    678.05/1,017.08 = 215.83/x
  3. Step 3: Cross multiply
    678.05x = 1,017.08 × 215.83
  4. Step 4: Simplify right side
    678.05x = 219,520.85
  5. Step 5: Solve for x
    x = 219,520.85/678.05
  6. Step 6: Final answer
    x = 323.75

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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.