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Finding the Fourth Proportional to 524.34, 786.64 and 199.53

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Solution

The fourth proportional to 524.34, 786.64 and 199.53 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.34 : 786.64 = 199.53 : x
  2. Step 2: Convert to fraction form
    524.34/786.64 = 199.53/x
  3. Step 3: Cross multiply
    524.34x = 786.64 × 199.53
  4. Step 4: Simplify right side
    524.34x = 156,958.28
  5. Step 5: Solve for x
    x = 156,958.28/524.34
  6. Step 6: Final answer
    x = 299.34

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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.