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Finding the Fourth Proportional to 403.22, 604.83 and 114.66

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Solution

The fourth proportional to 403.22, 604.83 and 114.66 is: 171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.22 : 604.83 = 114.66 : x
  2. Step 2: Convert to fraction form
    403.22/604.83 = 114.66/x
  3. Step 3: Cross multiply
    403.22x = 604.83 × 114.66
  4. Step 4: Simplify right side
    403.22x = 69,349.23
  5. Step 5: Solve for x
    x = 69,349.23/403.22
  6. Step 6: Final answer
    x = 171.99

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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.