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Finding the Fourth Proportional to 290.14, 435.20 and 73.71

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Solution

The fourth proportional to 290.14, 435.20 and 73.71 is: 110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.14 : 435.20 = 73.71 : x
  2. Step 2: Convert to fraction form
    290.14/435.20 = 73.71/x
  3. Step 3: Cross multiply
    290.14x = 435.20 × 73.71
  4. Step 4: Simplify right side
    290.14x = 32,078.59
  5. Step 5: Solve for x
    x = 32,078.59/290.14
  6. Step 6: Final answer
    x = 110.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.