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Finding the Fourth Proportional to 657.75, 986.61 and 311.13

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Solution

The fourth proportional to 657.75, 986.61 and 311.13 is: 466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.75 : 986.61 = 311.13 : x
  2. Step 2: Convert to fraction form
    657.75/986.61 = 311.13/x
  3. Step 3: Cross multiply
    657.75x = 986.61 × 311.13
  4. Step 4: Simplify right side
    657.75x = 306,963.97
  5. Step 5: Solve for x
    x = 306,963.97/657.75
  6. Step 6: Final answer
    x = 466.69

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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.