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Finding the Fourth Proportional to 470.75, 649.65 and 296.09

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Solution

The fourth proportional to 470.75, 649.65 and 296.09 is: 408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.75 : 649.65 = 296.09 : x
  2. Step 2: Convert to fraction form
    470.75/649.65 = 296.09/x
  3. Step 3: Cross multiply
    470.75x = 649.65 × 296.09
  4. Step 4: Simplify right side
    470.75x = 192,354.87
  5. Step 5: Solve for x
    x = 192,354.87/470.75
  6. Step 6: Final answer
    x = 408.61

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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.