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Finding the Fourth Proportional to 523.95, 786.33 and 199.41

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Solution

The fourth proportional to 523.95, 786.33 and 199.41 is: 299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.95 : 786.33 = 199.41 : x
  2. Step 2: Convert to fraction form
    523.95/786.33 = 199.41/x
  3. Step 3: Cross multiply
    523.95x = 786.33 × 199.41
  4. Step 4: Simplify right side
    523.95x = 156,802.07
  5. Step 5: Solve for x
    x = 156,802.07/523.95
  6. Step 6: Final answer
    x = 299.27

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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.