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Finding the Fourth Proportional to 470.82, 649.56 and 296.16

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Solution

The fourth proportional to 470.82, 649.56 and 296.16 is: 408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.82 : 649.56 = 296.16 : x
  2. Step 2: Convert to fraction form
    470.82/649.56 = 296.16/x
  3. Step 3: Cross multiply
    470.82x = 649.56 × 296.16
  4. Step 4: Simplify right side
    470.82x = 192,373.69
  5. Step 5: Solve for x
    x = 192,373.69/470.82
  6. Step 6: Final answer
    x = 408.59

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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.