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Finding the Fourth Proportional to 403.15, 604.69 and 110.65

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Solution

The fourth proportional to 403.15, 604.69 and 110.65 is: 165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.15 : 604.69 = 110.65 : x
  2. Step 2: Convert to fraction form
    403.15/604.69 = 110.65/x
  3. Step 3: Cross multiply
    403.15x = 604.69 × 110.65
  4. Step 4: Simplify right side
    403.15x = 66,908.95
  5. Step 5: Solve for x
    x = 66,908.95/403.15
  6. Step 6: Final answer
    x = 165.97

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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.