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Finding the Fourth Proportional to 908.50, 1,362.84 and 292.06

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Solution

The fourth proportional to 908.50, 1,362.84 and 292.06 is: 438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.50 : 1,362.84 = 292.06 : x
  2. Step 2: Convert to fraction form
    908.50/1,362.84 = 292.06/x
  3. Step 3: Cross multiply
    908.50x = 1,362.84 × 292.06
  4. Step 4: Simplify right side
    908.50x = 398,031.05
  5. Step 5: Solve for x
    x = 398,031.05/908.50
  6. Step 6: Final answer
    x = 438.12

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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.