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Finding the Fourth Proportional to 524.39, 786.97 and 199.77

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Solution

The fourth proportional to 524.39, 786.97 and 199.77 is: 299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.39 : 786.97 = 199.77 : x
  2. Step 2: Convert to fraction form
    524.39/786.97 = 199.77/x
  3. Step 3: Cross multiply
    524.39x = 786.97 × 199.77
  4. Step 4: Simplify right side
    524.39x = 157,209.17
  5. Step 5: Solve for x
    x = 157,209.17/524.39
  6. Step 6: Final answer
    x = 299.79

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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.