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Finding the Fourth Proportional to 290.78, 436.13 and 85.31

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Solution

The fourth proportional to 290.78, 436.13 and 85.31 is: 127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.78 : 436.13 = 85.31 : x
  2. Step 2: Convert to fraction form
    290.78/436.13 = 85.31/x
  3. Step 3: Cross multiply
    290.78x = 436.13 × 85.31
  4. Step 4: Simplify right side
    290.78x = 37,205.60
  5. Step 5: Solve for x
    x = 37,205.60/290.78
  6. Step 6: Final answer
    x = 127.95

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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.