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Finding the Fourth Proportional to 523.73, 785.81 and 199.13

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Solution

The fourth proportional to 523.73, 785.81 and 199.13 is: 298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.73 : 785.81 = 199.13 : x
  2. Step 2: Convert to fraction form
    523.73/785.81 = 199.13/x
  3. Step 3: Cross multiply
    523.73x = 785.81 × 199.13
  4. Step 4: Simplify right side
    523.73x = 156,474.91
  5. Step 5: Solve for x
    x = 156,474.91/523.73
  6. Step 6: Final answer
    x = 298.77

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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.