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Finding the Fourth Proportional to 403.16, 604.73 and 129.27

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Solution

The fourth proportional to 403.16, 604.73 and 129.27 is: 193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.16 : 604.73 = 129.27 : x
  2. Step 2: Convert to fraction form
    403.16/604.73 = 129.27/x
  3. Step 3: Cross multiply
    403.16x = 604.73 × 129.27
  4. Step 4: Simplify right side
    403.16x = 78,176.04
  5. Step 5: Solve for x
    x = 78,176.04/403.16
  6. Step 6: Final answer
    x = 193.91

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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.