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Finding the Fourth Proportional to 410.49, 566.49 and 224.00

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Solution

The fourth proportional to 410.49, 566.49 and 224.00 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.49 : 566.49 = 224.00 : x
  2. Step 2: Convert to fraction form
    410.49/566.49 = 224.00/x
  3. Step 3: Cross multiply
    410.49x = 566.49 × 224.00
  4. Step 4: Simplify right side
    410.49x = 126,890.93
  5. Step 5: Solve for x
    x = 126,890.93/410.49
  6. Step 6: Final answer
    x = 309.12

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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.