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Finding the Fourth Proportional to 524.42, 786.01 and 199.47

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Solution

The fourth proportional to 524.42, 786.01 and 199.47 is: 298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.42 : 786.01 = 199.47 : x
  2. Step 2: Convert to fraction form
    524.42/786.01 = 199.47/x
  3. Step 3: Cross multiply
    524.42x = 786.01 × 199.47
  4. Step 4: Simplify right side
    524.42x = 156,785.41
  5. Step 5: Solve for x
    x = 156,785.41/524.42
  6. Step 6: Final answer
    x = 298.97

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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.