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Finding the Fourth Proportional to 471.57, 649.97 and 360.81

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Solution

The fourth proportional to 471.57, 649.97 and 360.81 is: 497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.57 : 649.97 = 360.81 : x
  2. Step 2: Convert to fraction form
    471.57/649.97 = 360.81/x
  3. Step 3: Cross multiply
    471.57x = 649.97 × 360.81
  4. Step 4: Simplify right side
    471.57x = 234,515.68
  5. Step 5: Solve for x
    x = 234,515.68/471.57
  6. Step 6: Final answer
    x = 497.31

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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.