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Finding the Fourth Proportional to 523.87, 785.57 and 199.13

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Solution

The fourth proportional to 523.87, 785.57 and 199.13 is: 298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.87 : 785.57 = 199.13 : x
  2. Step 2: Convert to fraction form
    523.87/785.57 = 199.13/x
  3. Step 3: Cross multiply
    523.87x = 785.57 × 199.13
  4. Step 4: Simplify right side
    523.87x = 156,425.63
  5. Step 5: Solve for x
    x = 156,425.63/523.87
  6. Step 6: Final answer
    x = 298.60

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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.