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Finding the Fourth Proportional to 523.90, 786.24 and 199.90

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Solution

The fourth proportional to 523.90, 786.24 and 199.90 is: 300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.90 : 786.24 = 199.90 : x
  2. Step 2: Convert to fraction form
    523.90/786.24 = 199.90/x
  3. Step 3: Cross multiply
    523.90x = 786.24 × 199.90
  4. Step 4: Simplify right side
    523.90x = 157,169.38
  5. Step 5: Solve for x
    x = 157,169.38/523.90
  6. Step 6: Final answer
    x = 300.00

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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.