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Finding the Fourth Proportional to 677.28, 1,016.12 and 215.09

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Solution

The fourth proportional to 677.28, 1,016.12 and 215.09 is: 322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.28 : 1,016.12 = 215.09 : x
  2. Step 2: Convert to fraction form
    677.28/1,016.12 = 215.09/x
  3. Step 3: Cross multiply
    677.28x = 1,016.12 × 215.09
  4. Step 4: Simplify right side
    677.28x = 218,557.25
  5. Step 5: Solve for x
    x = 218,557.25/677.28
  6. Step 6: Final answer
    x = 322.70

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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.