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Finding the Fourth Proportional to 523.64, 785.74 and 199.24

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Solution

The fourth proportional to 523.64, 785.74 and 199.24 is: 298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.64 : 785.74 = 199.24 : x
  2. Step 2: Convert to fraction form
    523.64/785.74 = 199.24/x
  3. Step 3: Cross multiply
    523.64x = 785.74 × 199.24
  4. Step 4: Simplify right side
    523.64x = 156,550.84
  5. Step 5: Solve for x
    x = 156,550.84/523.64
  6. Step 6: Final answer
    x = 298.97

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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.