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Finding the Fourth Proportional to 524.11, 785.98 and 199.57

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Solution

The fourth proportional to 524.11, 785.98 and 199.57 is: 299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.11 : 785.98 = 199.57 : x
  2. Step 2: Convert to fraction form
    524.11/785.98 = 199.57/x
  3. Step 3: Cross multiply
    524.11x = 785.98 × 199.57
  4. Step 4: Simplify right side
    524.11x = 156,853.60
  5. Step 5: Solve for x
    x = 156,853.60/524.11
  6. Step 6: Final answer
    x = 299.28

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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.