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Finding the Fourth Proportional to 290.69, 436.11 and 85.26

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Solution

The fourth proportional to 290.69, 436.11 and 85.26 is: 127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.69 : 436.11 = 85.26 : x
  2. Step 2: Convert to fraction form
    290.69/436.11 = 85.26/x
  3. Step 3: Cross multiply
    290.69x = 436.11 × 85.26
  4. Step 4: Simplify right side
    290.69x = 37,182.74
  5. Step 5: Solve for x
    x = 37,182.74/290.69
  6. Step 6: Final answer
    x = 127.91

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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.