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Finding the Fourth Proportional to 524.12, 786.23 and 199.49

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Solution

The fourth proportional to 524.12, 786.23 and 199.49 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.12 : 786.23 = 199.49 : x
  2. Step 2: Convert to fraction form
    524.12/786.23 = 199.49/x
  3. Step 3: Cross multiply
    524.12x = 786.23 × 199.49
  4. Step 4: Simplify right side
    524.12x = 156,844.03
  5. Step 5: Solve for x
    x = 156,844.03/524.12
  6. Step 6: Final answer
    x = 299.25

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Double scale
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Similar ratio
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1.5x scale

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.