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Finding the Fourth Proportional to 677.49, 1,016.23 and 238.64

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Solution

The fourth proportional to 677.49, 1,016.23 and 238.64 is: 357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.49 : 1,016.23 = 238.64 : x
  2. Step 2: Convert to fraction form
    677.49/1,016.23 = 238.64/x
  3. Step 3: Cross multiply
    677.49x = 1,016.23 × 238.64
  4. Step 4: Simplify right side
    677.49x = 242,508.05
  5. Step 5: Solve for x
    x = 242,508.05/677.49
  6. Step 6: Final answer
    x = 357.95

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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.