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Finding the Fourth Proportional to 523.74, 785.62 and 249.96

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Solution

The fourth proportional to 523.74, 785.62 and 249.96 is: 374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 785.62 = 249.96 : x
  2. Step 2: Convert to fraction form
    523.74/785.62 = 249.96/x
  3. Step 3: Cross multiply
    523.74x = 785.62 × 249.96
  4. Step 4: Simplify right side
    523.74x = 196,373.58
  5. Step 5: Solve for x
    x = 196,373.58/523.74
  6. Step 6: Final answer
    x = 374.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.