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Finding the Fourth Proportional to 351.84, 528.05 and 249.23

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Solution

The fourth proportional to 351.84, 528.05 and 249.23 is: 374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 528.05 = 249.23 : x
  2. Step 2: Convert to fraction form
    351.84/528.05 = 249.23/x
  3. Step 3: Cross multiply
    351.84x = 528.05 × 249.23
  4. Step 4: Simplify right side
    351.84x = 131,603.26
  5. Step 5: Solve for x
    x = 131,603.26/351.84
  6. Step 6: Final answer
    x = 374.04

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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.