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Finding the Fourth Proportional to 471.15, 649.62 and 415.80

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Solution

The fourth proportional to 471.15, 649.62 and 415.80 is: 573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.15 : 649.62 = 415.80 : x
  2. Step 2: Convert to fraction form
    471.15/649.62 = 415.80/x
  3. Step 3: Cross multiply
    471.15x = 649.62 × 415.80
  4. Step 4: Simplify right side
    471.15x = 270,112.00
  5. Step 5: Solve for x
    x = 270,112.00/471.15
  6. Step 6: Final answer
    x = 573.30

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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.