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Finding the Fourth Proportional to 462.26, 637.73 and 296.43

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Solution

The fourth proportional to 462.26, 637.73 and 296.43 is: 408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.26 : 637.73 = 296.43 : x
  2. Step 2: Convert to fraction form
    462.26/637.73 = 296.43/x
  3. Step 3: Cross multiply
    462.26x = 637.73 × 296.43
  4. Step 4: Simplify right side
    462.26x = 189,040.82
  5. Step 5: Solve for x
    x = 189,040.82/462.26
  6. Step 6: Final answer
    x = 408.95

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