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Finding the Fourth Proportional to 657.80, 986.70 and 311.02

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Solution

The fourth proportional to 657.80, 986.70 and 311.02 is: 466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.80 : 986.70 = 311.02 : x
  2. Step 2: Convert to fraction form
    657.80/986.70 = 311.02/x
  3. Step 3: Cross multiply
    657.80x = 986.70 × 311.02
  4. Step 4: Simplify right side
    657.80x = 306,883.43
  5. Step 5: Solve for x
    x = 306,883.43/657.80
  6. Step 6: Final answer
    x = 466.53

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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.