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Finding the Fourth Proportional to 453.82, 626.42 and 296.18

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Solution

The fourth proportional to 453.82, 626.42 and 296.18 is: 408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.82 : 626.42 = 296.18 : x
  2. Step 2: Convert to fraction form
    453.82/626.42 = 296.18/x
  3. Step 3: Cross multiply
    453.82x = 626.42 × 296.18
  4. Step 4: Simplify right side
    453.82x = 185,533.08
  5. Step 5: Solve for x
    x = 185,533.08/453.82
  6. Step 6: Final answer
    x = 408.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.