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Finding the Fourth Proportional to 908.46, 1,362.75 and 292.14

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Solution

The fourth proportional to 908.46, 1,362.75 and 292.14 is: 438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.46 : 1,362.75 = 292.14 : x
  2. Step 2: Convert to fraction form
    908.46/1,362.75 = 292.14/x
  3. Step 3: Cross multiply
    908.46x = 1,362.75 × 292.14
  4. Step 4: Simplify right side
    908.46x = 398,113.79
  5. Step 5: Solve for x
    x = 398,113.79/908.46
  6. Step 6: Final answer
    x = 438.23

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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.