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Finding the Fourth Proportional to 470.24, 649.37 and 360.43

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Solution

The fourth proportional to 470.24, 649.37 and 360.43 is: 497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 649.37 = 360.43 : x
  2. Step 2: Convert to fraction form
    470.24/649.37 = 360.43/x
  3. Step 3: Cross multiply
    470.24x = 649.37 × 360.43
  4. Step 4: Simplify right side
    470.24x = 234,053.33
  5. Step 5: Solve for x
    x = 234,053.33/470.24
  6. Step 6: Final answer
    x = 497.73

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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.