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Finding the Fourth Proportional to 471.38, 650.57 and 296.69

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Solution

The fourth proportional to 471.38, 650.57 and 296.69 is: 409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.38 : 650.57 = 296.69 : x
  2. Step 2: Convert to fraction form
    471.38/650.57 = 296.69/x
  3. Step 3: Cross multiply
    471.38x = 650.57 × 296.69
  4. Step 4: Simplify right side
    471.38x = 193,012.88
  5. Step 5: Solve for x
    x = 193,012.88/471.38
  6. Step 6: Final answer
    x = 409.47

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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.