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Finding the Fourth Proportional to 523.84, 785.77 and 199.43

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Solution

The fourth proportional to 523.84, 785.77 and 199.43 is: 299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.84 : 785.77 = 199.43 : x
  2. Step 2: Convert to fraction form
    523.84/785.77 = 199.43/x
  3. Step 3: Cross multiply
    523.84x = 785.77 × 199.43
  4. Step 4: Simplify right side
    523.84x = 156,706.11
  5. Step 5: Solve for x
    x = 156,706.11/523.84
  6. Step 6: Final answer
    x = 299.15

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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.