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Finding the Fourth Proportional to 435.51, 601.08 and 249.06

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Solution

The fourth proportional to 435.51, 601.08 and 249.06 is: 343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.51 : 601.08 = 249.06 : x
  2. Step 2: Convert to fraction form
    435.51/601.08 = 249.06/x
  3. Step 3: Cross multiply
    435.51x = 601.08 × 249.06
  4. Step 4: Simplify right side
    435.51x = 149,704.98
  5. Step 5: Solve for x
    x = 149,704.98/435.51
  6. Step 6: Final answer
    x = 343.75

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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.