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Finding the Fourth Proportional to 908.99, 1,363.08 and 259.57

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Solution

The fourth proportional to 908.99, 1,363.08 and 259.57 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.99 : 1,363.08 = 259.57 : x
  2. Step 2: Convert to fraction form
    908.99/1,363.08 = 259.57/x
  3. Step 3: Cross multiply
    908.99x = 1,363.08 × 259.57
  4. Step 4: Simplify right side
    908.99x = 353,814.68
  5. Step 5: Solve for x
    x = 353,814.68/908.99
  6. Step 6: Final answer
    x = 389.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.