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Finding the Fourth Proportional to 369.92, 553.44 and 323.84

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Solution

The fourth proportional to 369.92, 553.44 and 323.84 is: 484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.92 : 553.44 = 323.84 : x
  2. Step 2: Convert to fraction form
    369.92/553.44 = 323.84/x
  3. Step 3: Cross multiply
    369.92x = 553.44 × 323.84
  4. Step 4: Simplify right side
    369.92x = 179,226.01
  5. Step 5: Solve for x
    x = 179,226.01/369.92
  6. Step 6: Final answer
    x = 484.50

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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.