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Finding the Fourth Proportional to 524.27, 784.78 and 380.09

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Solution

The fourth proportional to 524.27, 784.78 and 380.09 is: 568.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.27 : 784.78 = 380.09 : x
  2. Step 2: Convert to fraction form
    524.27/784.78 = 380.09/x
  3. Step 3: Cross multiply
    524.27x = 784.78 × 380.09
  4. Step 4: Simplify right side
    524.27x = 298,287.03
  5. Step 5: Solve for x
    x = 298,287.03/524.27
  6. Step 6: Final answer
    x = 568.96

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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.