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Finding the Fourth Proportional to 490.76, 736.46 and 369.32

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Solution

The fourth proportional to 490.76, 736.46 and 369.32 is: 554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.76 : 736.46 = 369.32 : x
  2. Step 2: Convert to fraction form
    490.76/736.46 = 369.32/x
  3. Step 3: Cross multiply
    490.76x = 736.46 × 369.32
  4. Step 4: Simplify right side
    490.76x = 271,989.41
  5. Step 5: Solve for x
    x = 271,989.41/490.76
  6. Step 6: Final answer
    x = 554.22

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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.