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Finding the Fourth Proportional to 908.72, 1,363.17 and 259.46

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Solution

The fourth proportional to 908.72, 1,363.17 and 259.46 is: 389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.72 : 1,363.17 = 259.46 : x
  2. Step 2: Convert to fraction form
    908.72/1,363.17 = 259.46/x
  3. Step 3: Cross multiply
    908.72x = 1,363.17 × 259.46
  4. Step 4: Simplify right side
    908.72x = 353,688.09
  5. Step 5: Solve for x
    x = 353,688.09/908.72
  6. Step 6: Final answer
    x = 389.22

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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.