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Finding the Fourth Proportional to 656.80, 984.56 and 310.38

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Solution

The fourth proportional to 656.80, 984.56 and 310.38 is: 465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.80 : 984.56 = 310.38 : x
  2. Step 2: Convert to fraction form
    656.80/984.56 = 310.38/x
  3. Step 3: Cross multiply
    656.80x = 984.56 × 310.38
  4. Step 4: Simplify right side
    656.80x = 305,587.73
  5. Step 5: Solve for x
    x = 305,587.73/656.80
  6. Step 6: Final answer
    x = 465.27

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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.