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Finding the Fourth Proportional to 296.38, 444.46 and 204.80

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Solution

The fourth proportional to 296.38, 444.46 and 204.80 is: 307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.38 : 444.46 = 204.80 : x
  2. Step 2: Convert to fraction form
    296.38/444.46 = 204.80/x
  3. Step 3: Cross multiply
    296.38x = 444.46 × 204.80
  4. Step 4: Simplify right side
    296.38x = 91,027.38
  5. Step 5: Solve for x
    x = 91,027.38/296.38
  6. Step 6: Final answer
    x = 307.13

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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.