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Finding the Fourth Proportional to 656.25, 983.86 and 326.97

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Solution

The fourth proportional to 656.25, 983.86 and 326.97 is: 490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.25 : 983.86 = 326.97 : x
  2. Step 2: Convert to fraction form
    656.25/983.86 = 326.97/x
  3. Step 3: Cross multiply
    656.25x = 983.86 × 326.97
  4. Step 4: Simplify right side
    656.25x = 321,692.70
  5. Step 5: Solve for x
    x = 321,692.70/656.25
  6. Step 6: Final answer
    x = 490.20

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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.