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Finding the Fourth Proportional to 410.56, 566.57 and 224.05

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Solution

The fourth proportional to 410.56, 566.57 and 224.05 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.56 : 566.57 = 224.05 : x
  2. Step 2: Convert to fraction form
    410.56/566.57 = 224.05/x
  3. Step 3: Cross multiply
    410.56x = 566.57 × 224.05
  4. Step 4: Simplify right side
    410.56x = 126,940.01
  5. Step 5: Solve for x
    x = 126,940.01/410.56
  6. Step 6: Final answer
    x = 309.19

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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.