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Finding the Fourth Proportional to 677.91, 1,016.43 and 312.78

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Solution

The fourth proportional to 677.91, 1,016.43 and 312.78 is: 468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.91 : 1,016.43 = 312.78 : x
  2. Step 2: Convert to fraction form
    677.91/1,016.43 = 312.78/x
  3. Step 3: Cross multiply
    677.91x = 1,016.43 × 312.78
  4. Step 4: Simplify right side
    677.91x = 317,918.98
  5. Step 5: Solve for x
    x = 317,918.98/677.91
  6. Step 6: Final answer
    x = 468.97

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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.