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Finding the Fourth Proportional to 524.09, 785.73 and 199.43

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Solution

The fourth proportional to 524.09, 785.73 and 199.43 is: 298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.09 : 785.73 = 199.43 : x
  2. Step 2: Convert to fraction form
    524.09/785.73 = 199.43/x
  3. Step 3: Cross multiply
    524.09x = 785.73 × 199.43
  4. Step 4: Simplify right side
    524.09x = 156,698.13
  5. Step 5: Solve for x
    x = 156,698.13/524.09
  6. Step 6: Final answer
    x = 298.99

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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.