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Finding the Fourth Proportional to 470.56, 649.20 and 296.14

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Solution

The fourth proportional to 470.56, 649.20 and 296.14 is: 408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.56 : 649.20 = 296.14 : x
  2. Step 2: Convert to fraction form
    470.56/649.20 = 296.14/x
  3. Step 3: Cross multiply
    470.56x = 649.20 × 296.14
  4. Step 4: Simplify right side
    470.56x = 192,254.09
  5. Step 5: Solve for x
    x = 192,254.09/470.56
  6. Step 6: Final answer
    x = 408.56

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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.