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Finding the Fourth Proportional to 471.27, 650.24 and 296.65

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Solution

The fourth proportional to 471.27, 650.24 and 296.65 is: 409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.27 : 650.24 = 296.65 : x
  2. Step 2: Convert to fraction form
    471.27/650.24 = 296.65/x
  3. Step 3: Cross multiply
    471.27x = 650.24 × 296.65
  4. Step 4: Simplify right side
    471.27x = 192,893.70
  5. Step 5: Solve for x
    x = 192,893.70/471.27
  6. Step 6: Final answer
    x = 409.31

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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.