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Finding the Fourth Proportional to 677.32, 1,016.08 and 244.58

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Solution

The fourth proportional to 677.32, 1,016.08 and 244.58 is: 366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.32 : 1,016.08 = 244.58 : x
  2. Step 2: Convert to fraction form
    677.32/1,016.08 = 244.58/x
  3. Step 3: Cross multiply
    677.32x = 1,016.08 × 244.58
  4. Step 4: Simplify right side
    677.32x = 248,512.85
  5. Step 5: Solve for x
    x = 248,512.85/677.32
  6. Step 6: Final answer
    x = 366.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.