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Finding the Fourth Proportional to 677.89, 1,016.69 and 312.33

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Solution

The fourth proportional to 677.89, 1,016.69 and 312.33 is: 468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.89 : 1,016.69 = 312.33 : x
  2. Step 2: Convert to fraction form
    677.89/1,016.69 = 312.33/x
  3. Step 3: Cross multiply
    677.89x = 1,016.69 × 312.33
  4. Step 4: Simplify right side
    677.89x = 317,542.79
  5. Step 5: Solve for x
    x = 317,542.79/677.89
  6. Step 6: Final answer
    x = 468.43

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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.