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Finding the Fourth Proportional to 435.56, 600.97 and 249.01

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Solution

The fourth proportional to 435.56, 600.97 and 249.01 is: 343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.56 : 600.97 = 249.01 : x
  2. Step 2: Convert to fraction form
    435.56/600.97 = 249.01/x
  3. Step 3: Cross multiply
    435.56x = 600.97 × 249.01
  4. Step 4: Simplify right side
    435.56x = 149,647.57
  5. Step 5: Solve for x
    x = 149,647.57/435.56
  6. Step 6: Final answer
    x = 343.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.