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Finding the Fourth Proportional to 524.30, 786.54 and 199.64

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Solution

The fourth proportional to 524.30, 786.54 and 199.64 is: 299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.30 : 786.54 = 199.64 : x
  2. Step 2: Convert to fraction form
    524.30/786.54 = 199.64/x
  3. Step 3: Cross multiply
    524.30x = 786.54 × 199.64
  4. Step 4: Simplify right side
    524.30x = 157,021.41
  5. Step 5: Solve for x
    x = 157,021.41/524.30
  6. Step 6: Final answer
    x = 299.49

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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.