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Finding the Fourth Proportional to 470.78, 649.23 and 360.26

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Solution

The fourth proportional to 470.78, 649.23 and 360.26 is: 496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.78 : 649.23 = 360.26 : x
  2. Step 2: Convert to fraction form
    470.78/649.23 = 360.26/x
  3. Step 3: Cross multiply
    470.78x = 649.23 × 360.26
  4. Step 4: Simplify right side
    470.78x = 233,891.60
  5. Step 5: Solve for x
    x = 233,891.60/470.78
  6. Step 6: Final answer
    x = 496.82

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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.