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Finding the Fourth Proportional to 471.31, 650.79 and 296.71

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Solution

The fourth proportional to 471.31, 650.79 and 296.71 is: 409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.31 : 650.79 = 296.71 : x
  2. Step 2: Convert to fraction form
    471.31/650.79 = 296.71/x
  3. Step 3: Cross multiply
    471.31x = 650.79 × 296.71
  4. Step 4: Simplify right side
    471.31x = 193,095.90
  5. Step 5: Solve for x
    x = 193,095.90/471.31
  6. Step 6: Final answer
    x = 409.70

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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.