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Finding the Fourth Proportional to 296.26, 441.47 and 286.47

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Solution

The fourth proportional to 296.26, 441.47 and 286.47 is: 426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.26 : 441.47 = 286.47 : x
  2. Step 2: Convert to fraction form
    296.26/441.47 = 286.47/x
  3. Step 3: Cross multiply
    296.26x = 441.47 × 286.47
  4. Step 4: Simplify right side
    296.26x = 126,468.63
  5. Step 5: Solve for x
    x = 126,468.63/296.26
  6. Step 6: Final answer
    x = 426.89

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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.