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Finding the Fourth Proportional to 524.25, 786.38 and 199.64

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Solution

The fourth proportional to 524.25, 786.38 and 199.64 is: 299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.25 : 786.38 = 199.64 : x
  2. Step 2: Convert to fraction form
    524.25/786.38 = 199.64/x
  3. Step 3: Cross multiply
    524.25x = 786.38 × 199.64
  4. Step 4: Simplify right side
    524.25x = 156,987.97
  5. Step 5: Solve for x
    x = 156,987.97/524.25
  6. Step 6: Final answer
    x = 299.45

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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.