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Finding the Fourth Proportional to 294.97, 444.68 and 275.15

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Solution

The fourth proportional to 294.97, 444.68 and 275.15 is: 414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.97 : 444.68 = 275.15 : x
  2. Step 2: Convert to fraction form
    294.97/444.68 = 275.15/x
  3. Step 3: Cross multiply
    294.97x = 444.68 × 275.15
  4. Step 4: Simplify right side
    294.97x = 122,353.44
  5. Step 5: Solve for x
    x = 122,353.44/294.97
  6. Step 6: Final answer
    x = 414.80

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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.