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Finding the Fourth Proportional to 678.06, 1,016.71 and 215.75

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Solution

The fourth proportional to 678.06, 1,016.71 and 215.75 is: 323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.06 : 1,016.71 = 215.75 : x
  2. Step 2: Convert to fraction form
    678.06/1,016.71 = 215.75/x
  3. Step 3: Cross multiply
    678.06x = 1,016.71 × 215.75
  4. Step 4: Simplify right side
    678.06x = 219,355.18
  5. Step 5: Solve for x
    x = 219,355.18/678.06
  6. Step 6: Final answer
    x = 323.50

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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.