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Finding the Fourth Proportional to 294.28, 406 and 224.41

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Solution

The fourth proportional to 294.28, 406 and 224.41 is: 309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.28 : 406 = 224.41 : x
  2. Step 2: Convert to fraction form
    294.28/406 = 224.41/x
  3. Step 3: Cross multiply
    294.28x = 406 × 224.41
  4. Step 4: Simplify right side
    294.28x = 91,110.46
  5. Step 5: Solve for x
    x = 91,110.46/294.28
  6. Step 6: Final answer
    x = 309.60

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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.