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Finding the Fourth Proportional to 524.68, 786.78 and 199.84

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Solution

The fourth proportional to 524.68, 786.78 and 199.84 is: 299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.68 : 786.78 = 199.84 : x
  2. Step 2: Convert to fraction form
    524.68/786.78 = 199.84/x
  3. Step 3: Cross multiply
    524.68x = 786.78 × 199.84
  4. Step 4: Simplify right side
    524.68x = 157,230.12
  5. Step 5: Solve for x
    x = 157,230.12/524.68
  6. Step 6: Final answer
    x = 299.67

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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.