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Finding the Fourth Proportional to 290.17, 435.26 and 73.75

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Solution

The fourth proportional to 290.17, 435.26 and 73.75 is: 110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.17 : 435.26 = 73.75 : x
  2. Step 2: Convert to fraction form
    290.17/435.26 = 73.75/x
  3. Step 3: Cross multiply
    290.17x = 435.26 × 73.75
  4. Step 4: Simplify right side
    290.17x = 32,100.43
  5. Step 5: Solve for x
    x = 32,100.43/290.17
  6. Step 6: Final answer
    x = 110.63

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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.