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Finding the Fourth Proportional to 908.42, 1,362.16 and 323.20

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Solution

The fourth proportional to 908.42, 1,362.16 and 323.20 is: 484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.42 : 1,362.16 = 323.20 : x
  2. Step 2: Convert to fraction form
    908.42/1,362.16 = 323.20/x
  3. Step 3: Cross multiply
    908.42x = 1,362.16 × 323.20
  4. Step 4: Simplify right side
    908.42x = 440,241.69
  5. Step 5: Solve for x
    x = 440,241.69/908.42
  6. Step 6: Final answer
    x = 484.62

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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.