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Finding the Fourth Proportional to 677.82, 1,016.08 and 215.28

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Solution

The fourth proportional to 677.82, 1,016.08 and 215.28 is: 322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.82 : 1,016.08 = 215.28 : x
  2. Step 2: Convert to fraction form
    677.82/1,016.08 = 215.28/x
  3. Step 3: Cross multiply
    677.82x = 1,016.08 × 215.28
  4. Step 4: Simplify right side
    677.82x = 218,741.70
  5. Step 5: Solve for x
    x = 218,741.70/677.82
  6. Step 6: Final answer
    x = 322.71

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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.