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Finding the Fourth Proportional to 677.53, 1,016.36 and 331.17

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Solution

The fourth proportional to 677.53, 1,016.36 and 331.17 is: 496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.53 : 1,016.36 = 331.17 : x
  2. Step 2: Convert to fraction form
    677.53/1,016.36 = 331.17/x
  3. Step 3: Cross multiply
    677.53x = 1,016.36 × 331.17
  4. Step 4: Simplify right side
    677.53x = 336,587.94
  5. Step 5: Solve for x
    x = 336,587.94/677.53
  6. Step 6: Final answer
    x = 496.79

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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.