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Finding the Fourth Proportional to 523.91, 785.36 and 249.93

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Solution

The fourth proportional to 523.91, 785.36 and 249.93 is: 374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.91 : 785.36 = 249.93 : x
  2. Step 2: Convert to fraction form
    523.91/785.36 = 249.93/x
  3. Step 3: Cross multiply
    523.91x = 785.36 × 249.93
  4. Step 4: Simplify right side
    523.91x = 196,283.78
  5. Step 5: Solve for x
    x = 196,283.78/523.91
  6. Step 6: Final answer
    x = 374.65

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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.