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Finding the Fourth Proportional to 677.28, 1,016.08 and 292.56

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Solution

The fourth proportional to 677.28, 1,016.08 and 292.56 is: 438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.28 : 1,016.08 = 292.56 : x
  2. Step 2: Convert to fraction form
    677.28/1,016.08 = 292.56/x
  3. Step 3: Cross multiply
    677.28x = 1,016.08 × 292.56
  4. Step 4: Simplify right side
    677.28x = 297,264.36
  5. Step 5: Solve for x
    x = 297,264.36/677.28
  6. Step 6: Final answer
    x = 438.91

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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.