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Finding the Fourth Proportional to 294.46, 443.71 and 244.23

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Solution

The fourth proportional to 294.46, 443.71 and 244.23 is: 368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.46 : 443.71 = 244.23 : x
  2. Step 2: Convert to fraction form
    294.46/443.71 = 244.23/x
  3. Step 3: Cross multiply
    294.46x = 443.71 × 244.23
  4. Step 4: Simplify right side
    294.46x = 108,367.29
  5. Step 5: Solve for x
    x = 108,367.29/294.46
  6. Step 6: Final answer
    x = 368.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.