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Finding the Fourth Proportional to 524.29, 786.71 and 199.66

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Solution

The fourth proportional to 524.29, 786.71 and 199.66 is: 299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.29 : 786.71 = 199.66 : x
  2. Step 2: Convert to fraction form
    524.29/786.71 = 199.66/x
  3. Step 3: Cross multiply
    524.29x = 786.71 × 199.66
  4. Step 4: Simplify right side
    524.29x = 157,073.52
  5. Step 5: Solve for x
    x = 157,073.52/524.29
  6. Step 6: Final answer
    x = 299.59

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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.