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Finding the Fourth Proportional to 410.74, 566.83 and 224.23

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Solution

The fourth proportional to 410.74, 566.83 and 224.23 is: 309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.74 : 566.83 = 224.23 : x
  2. Step 2: Convert to fraction form
    410.74/566.83 = 224.23/x
  3. Step 3: Cross multiply
    410.74x = 566.83 × 224.23
  4. Step 4: Simplify right side
    410.74x = 127,100.29
  5. Step 5: Solve for x
    x = 127,100.29/410.74
  6. Step 6: Final answer
    x = 309.44

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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.