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Finding the Fourth Proportional to 471.28, 650.34 and 296.56

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Solution

The fourth proportional to 471.28, 650.34 and 296.56 is: 409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.28 : 650.34 = 296.56 : x
  2. Step 2: Convert to fraction form
    471.28/650.34 = 296.56/x
  3. Step 3: Cross multiply
    471.28x = 650.34 × 296.56
  4. Step 4: Simplify right side
    471.28x = 192,864.83
  5. Step 5: Solve for x
    x = 192,864.83/471.28
  6. Step 6: Final answer
    x = 409.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.