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Finding the Fourth Proportional to 523.50, 785.26 and 199.02

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Solution

The fourth proportional to 523.50, 785.26 and 199.02 is: 298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 785.26 = 199.02 : x
  2. Step 2: Convert to fraction form
    523.50/785.26 = 199.02/x
  3. Step 3: Cross multiply
    523.50x = 785.26 × 199.02
  4. Step 4: Simplify right side
    523.50x = 156,282.45
  5. Step 5: Solve for x
    x = 156,282.45/523.50
  6. Step 6: Final answer
    x = 298.53

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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.