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Finding the Fourth Proportional to 471.06, 649.78 and 296.10

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Solution

The fourth proportional to 471.06, 649.78 and 296.10 is: 408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 649.78 = 296.10 : x
  2. Step 2: Convert to fraction form
    471.06/649.78 = 296.10/x
  3. Step 3: Cross multiply
    471.06x = 649.78 × 296.10
  4. Step 4: Simplify right side
    471.06x = 192,399.86
  5. Step 5: Solve for x
    x = 192,399.86/471.06
  6. Step 6: Final answer
    x = 408.44

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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.