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Finding the Fourth Proportional to 908.21, 1,362.36 and 446.20

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Solution

The fourth proportional to 908.21, 1,362.36 and 446.20 is: 669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.21 : 1,362.36 = 446.20 : x
  2. Step 2: Convert to fraction form
    908.21/1,362.36 = 446.20/x
  3. Step 3: Cross multiply
    908.21x = 1,362.36 × 446.20
  4. Step 4: Simplify right side
    908.21x = 607,885.03
  5. Step 5: Solve for x
    x = 607,885.03/908.21
  6. Step 6: Final answer
    x = 669.32

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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.