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Finding the Fourth Proportional to 908.04, 1,362.75 and 446.08

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Solution

The fourth proportional to 908.04, 1,362.75 and 446.08 is: 669.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.04 : 1,362.75 = 446.08 : x
  2. Step 2: Convert to fraction form
    908.04/1,362.75 = 446.08/x
  3. Step 3: Cross multiply
    908.04x = 1,362.75 × 446.08
  4. Step 4: Simplify right side
    908.04x = 607,895.52
  5. Step 5: Solve for x
    x = 607,895.52/908.04
  6. Step 6: Final answer
    x = 669.46

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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.