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Finding the Fourth Proportional to 417.24, 622.27 and 409.55

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Solution

The fourth proportional to 417.24, 622.27 and 409.55 is: 610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.24 : 622.27 = 409.55 : x
  2. Step 2: Convert to fraction form
    417.24/622.27 = 409.55/x
  3. Step 3: Cross multiply
    417.24x = 622.27 × 409.55
  4. Step 4: Simplify right side
    417.24x = 254,850.57
  5. Step 5: Solve for x
    x = 254,850.57/417.24
  6. Step 6: Final answer
    x = 610.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.