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Finding the Fourth Proportional to 294.23, 439.65 and 224.43

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Solution

The fourth proportional to 294.23, 439.65 and 224.43 is: 335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.23 : 439.65 = 224.43 : x
  2. Step 2: Convert to fraction form
    294.23/439.65 = 224.43/x
  3. Step 3: Cross multiply
    294.23x = 439.65 × 224.43
  4. Step 4: Simplify right side
    294.23x = 98,671.47
  5. Step 5: Solve for x
    x = 98,671.47/294.23
  6. Step 6: Final answer
    x = 335.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.