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Finding the Fourth Proportional to 500.10, 748.41 and 369.81

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Solution

The fourth proportional to 500.10, 748.41 and 369.81 is: 553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.10 : 748.41 = 369.81 : x
  2. Step 2: Convert to fraction form
    500.10/748.41 = 369.81/x
  3. Step 3: Cross multiply
    500.10x = 748.41 × 369.81
  4. Step 4: Simplify right side
    500.10x = 276,769.50
  5. Step 5: Solve for x
    x = 276,769.50/500.10
  6. Step 6: Final answer
    x = 553.43

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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.