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Finding the Fourth Proportional to 656.92, 984.23 and 437.43

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Solution

The fourth proportional to 656.92, 984.23 and 437.43 is: 655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.92 : 984.23 = 437.43 : x
  2. Step 2: Convert to fraction form
    656.92/984.23 = 437.43/x
  3. Step 3: Cross multiply
    656.92x = 984.23 × 437.43
  4. Step 4: Simplify right side
    656.92x = 430,529.54
  5. Step 5: Solve for x
    x = 430,529.54/656.92
  6. Step 6: Final answer
    x = 655.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.