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Finding the Fourth Proportional to 908.69, 1,363.25 and 259.41

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Solution

The fourth proportional to 908.69, 1,363.25 and 259.41 is: 389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.69 : 1,363.25 = 259.41 : x
  2. Step 2: Convert to fraction form
    908.69/1,363.25 = 259.41/x
  3. Step 3: Cross multiply
    908.69x = 1,363.25 × 259.41
  4. Step 4: Simplify right side
    908.69x = 353,639.39
  5. Step 5: Solve for x
    x = 353,639.39/908.69
  6. Step 6: Final answer
    x = 389.18

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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.