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Finding the Fourth Proportional to 656.06, 984.57 and 309.79

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Solution

The fourth proportional to 656.06, 984.57 and 309.79 is: 464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.06 : 984.57 = 309.79 : x
  2. Step 2: Convert to fraction form
    656.06/984.57 = 309.79/x
  3. Step 3: Cross multiply
    656.06x = 984.57 × 309.79
  4. Step 4: Simplify right side
    656.06x = 305,003.47
  5. Step 5: Solve for x
    x = 305,003.47/656.06
  6. Step 6: Final answer
    x = 464.90

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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.