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Finding the Fourth Proportional to 908.89, 1,363.30 and 360.92

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Solution

The fourth proportional to 908.89, 1,363.30 and 360.92 is: 541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.89 : 1,363.30 = 360.92 : x
  2. Step 2: Convert to fraction form
    908.89/1,363.30 = 360.92/x
  3. Step 3: Cross multiply
    908.89x = 1,363.30 × 360.92
  4. Step 4: Simplify right side
    908.89x = 492,044.74
  5. Step 5: Solve for x
    x = 492,044.74/908.89
  6. Step 6: Final answer
    x = 541.37

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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.