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Finding the Fourth Proportional to 908.84, 1,363.07 and 259.43

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Solution

The fourth proportional to 908.84, 1,363.07 and 259.43 is: 389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.84 : 1,363.07 = 259.43 : x
  2. Step 2: Convert to fraction form
    908.84/1,363.07 = 259.43/x
  3. Step 3: Cross multiply
    908.84x = 1,363.07 × 259.43
  4. Step 4: Simplify right side
    908.84x = 353,613.14
  5. Step 5: Solve for x
    x = 353,613.14/908.84
  6. Step 6: Final answer
    x = 389.08

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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.