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Finding the Fourth Proportional to 677.26, 1,016.10 and 311.75

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Solution

The fourth proportional to 677.26, 1,016.10 and 311.75 is: 467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.26 : 1,016.10 = 311.75 : x
  2. Step 2: Convert to fraction form
    677.26/1,016.10 = 311.75/x
  3. Step 3: Cross multiply
    677.26x = 1,016.10 × 311.75
  4. Step 4: Simplify right side
    677.26x = 316,769.18
  5. Step 5: Solve for x
    x = 316,769.18/677.26
  6. Step 6: Final answer
    x = 467.72

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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.