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Finding the Fourth Proportional to 290.41, 435.61 and 73.97

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Solution

The fourth proportional to 290.41, 435.61 and 73.97 is: 110.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.41 : 435.61 = 73.97 : x
  2. Step 2: Convert to fraction form
    290.41/435.61 = 73.97/x
  3. Step 3: Cross multiply
    290.41x = 435.61 × 73.97
  4. Step 4: Simplify right side
    290.41x = 32,221.62
  5. Step 5: Solve for x
    x = 32,221.62/290.41
  6. Step 6: Final answer
    x = 110.95

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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.