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Finding the Fourth Proportional to 403.62, 605.44 and 115.06

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Solution

The fourth proportional to 403.62, 605.44 and 115.06 is: 172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.62 : 605.44 = 115.06 : x
  2. Step 2: Convert to fraction form
    403.62/605.44 = 115.06/x
  3. Step 3: Cross multiply
    403.62x = 605.44 × 115.06
  4. Step 4: Simplify right side
    403.62x = 69,661.93
  5. Step 5: Solve for x
    x = 69,661.93/403.62
  6. Step 6: Final answer
    x = 172.59

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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.