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Finding the Fourth Proportional to 908.42, 1,362.52 and 446.21

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Solution

The fourth proportional to 908.42, 1,362.52 and 446.21 is: 669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.42 : 1,362.52 = 446.21 : x
  2. Step 2: Convert to fraction form
    908.42/1,362.52 = 446.21/x
  3. Step 3: Cross multiply
    908.42x = 1,362.52 × 446.21
  4. Step 4: Simplify right side
    908.42x = 607,968.90
  5. Step 5: Solve for x
    x = 607,968.90/908.42
  6. Step 6: Final answer
    x = 669.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.