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Finding the Fourth Proportional to 332.98, 496.14 and 296.61

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Solution

The fourth proportional to 332.98, 496.14 and 296.61 is: 441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.98 : 496.14 = 296.61 : x
  2. Step 2: Convert to fraction form
    332.98/496.14 = 296.61/x
  3. Step 3: Cross multiply
    332.98x = 496.14 × 296.61
  4. Step 4: Simplify right side
    332.98x = 147,158.78
  5. Step 5: Solve for x
    x = 147,158.78/332.98
  6. Step 6: Final answer
    x = 441.95

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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.