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Finding the Fourth Proportional to 908.73, 1,362.97 and 292.36

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Solution

The fourth proportional to 908.73, 1,362.97 and 292.36 is: 438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.73 : 1,362.97 = 292.36 : x
  2. Step 2: Convert to fraction form
    908.73/1,362.97 = 292.36/x
  3. Step 3: Cross multiply
    908.73x = 1,362.97 × 292.36
  4. Step 4: Simplify right side
    908.73x = 398,473.77
  5. Step 5: Solve for x
    x = 398,473.77/908.73
  6. Step 6: Final answer
    x = 438.49

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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.