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Finding the Fourth Proportional to 471.26, 650.34 and 296.57

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Solution

The fourth proportional to 471.26, 650.34 and 296.57 is: 409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.26 : 650.34 = 296.57 : x
  2. Step 2: Convert to fraction form
    471.26/650.34 = 296.57/x
  3. Step 3: Cross multiply
    471.26x = 650.34 × 296.57
  4. Step 4: Simplify right side
    471.26x = 192,871.33
  5. Step 5: Solve for x
    x = 192,871.33/471.26
  6. Step 6: Final answer
    x = 409.27

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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.