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Finding the Fourth Proportional to 471.73, 650.88 and 296.97

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Solution

The fourth proportional to 471.73, 650.88 and 296.97 is: 409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.73 : 650.88 = 296.97 : x
  2. Step 2: Convert to fraction form
    471.73/650.88 = 296.97/x
  3. Step 3: Cross multiply
    471.73x = 650.88 × 296.97
  4. Step 4: Simplify right side
    471.73x = 193,291.83
  5. Step 5: Solve for x
    x = 193,291.83/471.73
  6. Step 6: Final answer
    x = 409.75

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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.