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Finding the Fourth Proportional to 908.34, 1,362.76 and 292.22

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Solution

The fourth proportional to 908.34, 1,362.76 and 292.22 is: 438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.34 : 1,362.76 = 292.22 : x
  2. Step 2: Convert to fraction form
    908.34/1,362.76 = 292.22/x
  3. Step 3: Cross multiply
    908.34x = 1,362.76 × 292.22
  4. Step 4: Simplify right side
    908.34x = 398,225.73
  5. Step 5: Solve for x
    x = 398,225.73/908.34
  6. Step 6: Final answer
    x = 438.41

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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.