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Finding the Fourth Proportional to 656.56, 984.78 and 309.97

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Solution

The fourth proportional to 656.56, 984.78 and 309.97 is: 464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.56 : 984.78 = 309.97 : x
  2. Step 2: Convert to fraction form
    656.56/984.78 = 309.97/x
  3. Step 3: Cross multiply
    656.56x = 984.78 × 309.97
  4. Step 4: Simplify right side
    656.56x = 305,252.26
  5. Step 5: Solve for x
    x = 305,252.26/656.56
  6. Step 6: Final answer
    x = 464.93

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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.