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Finding the Fourth Proportional to 908.39, 1,362.83 and 259.13

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Solution

The fourth proportional to 908.39, 1,362.83 and 259.13 is: 388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.39 : 1,362.83 = 259.13 : x
  2. Step 2: Convert to fraction form
    908.39/1,362.83 = 259.13/x
  3. Step 3: Cross multiply
    908.39x = 1,362.83 × 259.13
  4. Step 4: Simplify right side
    908.39x = 353,142.03
  5. Step 5: Solve for x
    x = 353,142.03/908.39
  6. Step 6: Final answer
    x = 388.76

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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.