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Finding the Fourth Proportional to 290.62, 436.02 and 85.22

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Solution

The fourth proportional to 290.62, 436.02 and 85.22 is: 127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.62 : 436.02 = 85.22 : x
  2. Step 2: Convert to fraction form
    290.62/436.02 = 85.22/x
  3. Step 3: Cross multiply
    290.62x = 436.02 × 85.22
  4. Step 4: Simplify right side
    290.62x = 37,157.62
  5. Step 5: Solve for x
    x = 37,157.62/290.62
  6. Step 6: Final answer
    x = 127.86

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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.