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Finding the Fourth Proportional to 296.58, 444.95 and 205.85

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Solution

The fourth proportional to 296.58, 444.95 and 205.85 is: 308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.58 : 444.95 = 205.85 : x
  2. Step 2: Convert to fraction form
    296.58/444.95 = 205.85/x
  3. Step 3: Cross multiply
    296.58x = 444.95 × 205.85
  4. Step 4: Simplify right side
    296.58x = 91,589.70
  5. Step 5: Solve for x
    x = 91,589.70/296.58
  6. Step 6: Final answer
    x = 308.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.