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Finding the Fourth Proportional to 523.35, 785.28 and 249.69

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Solution

The fourth proportional to 523.35, 785.28 and 249.69 is: 374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.35 : 785.28 = 249.69 : x
  2. Step 2: Convert to fraction form
    523.35/785.28 = 249.69/x
  3. Step 3: Cross multiply
    523.35x = 785.28 × 249.69
  4. Step 4: Simplify right side
    523.35x = 196,076.56
  5. Step 5: Solve for x
    x = 196,076.56/523.35
  6. Step 6: Final answer
    x = 374.66

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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.