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Finding the Fourth Proportional to 410.75, 566.81 and 224.20

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Solution

The fourth proportional to 410.75, 566.81 and 224.20 is: 309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.75 : 566.81 = 224.20 : x
  2. Step 2: Convert to fraction form
    410.75/566.81 = 224.20/x
  3. Step 3: Cross multiply
    410.75x = 566.81 × 224.20
  4. Step 4: Simplify right side
    410.75x = 127,078.60
  5. Step 5: Solve for x
    x = 127,078.60/410.75
  6. Step 6: Final answer
    x = 309.38

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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.