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Finding the Fourth Proportional to 492.72, 736.80 and 369.68

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Solution

The fourth proportional to 492.72, 736.80 and 369.68 is: 552.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.72 : 736.80 = 369.68 : x
  2. Step 2: Convert to fraction form
    492.72/736.80 = 369.68/x
  3. Step 3: Cross multiply
    492.72x = 736.80 × 369.68
  4. Step 4: Simplify right side
    492.72x = 272,380.22
  5. Step 5: Solve for x
    x = 272,380.22/492.72
  6. Step 6: Final answer
    x = 552.81

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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.