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Finding the Fourth Proportional to 908.13, 1,362.67 and 360.31

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Solution

The fourth proportional to 908.13, 1,362.67 and 360.31 is: 540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.13 : 1,362.67 = 360.31 : x
  2. Step 2: Convert to fraction form
    908.13/1,362.67 = 360.31/x
  3. Step 3: Cross multiply
    908.13x = 1,362.67 × 360.31
  4. Step 4: Simplify right side
    908.13x = 490,983.63
  5. Step 5: Solve for x
    x = 490,983.63/908.13
  6. Step 6: Final answer
    x = 540.65

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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.