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Finding the Fourth Proportional to 410.85, 566.96 and 224.34

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Solution

The fourth proportional to 410.85, 566.96 and 224.34 is: 309.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.85 : 566.96 = 224.34 : x
  2. Step 2: Convert to fraction form
    410.85/566.96 = 224.34/x
  3. Step 3: Cross multiply
    410.85x = 566.96 × 224.34
  4. Step 4: Simplify right side
    410.85x = 127,194.49
  5. Step 5: Solve for x
    x = 127,194.49/410.85
  6. Step 6: Final answer
    x = 309.59

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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.