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Finding the Fourth Proportional to 462.28, 637.37 and 296.22

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Solution

The fourth proportional to 462.28, 637.37 and 296.22 is: 408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.28 : 637.37 = 296.22 : x
  2. Step 2: Convert to fraction form
    462.28/637.37 = 296.22/x
  3. Step 3: Cross multiply
    462.28x = 637.37 × 296.22
  4. Step 4: Simplify right side
    462.28x = 188,801.74
  5. Step 5: Solve for x
    x = 188,801.74/462.28
  6. Step 6: Final answer
    x = 408.41

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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.