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Finding the Fourth Proportional to 403.69, 605.47 and 115.06

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Solution

The fourth proportional to 403.69, 605.47 and 115.06 is: 172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.69 : 605.47 = 115.06 : x
  2. Step 2: Convert to fraction form
    403.69/605.47 = 115.06/x
  3. Step 3: Cross multiply
    403.69x = 605.47 × 115.06
  4. Step 4: Simplify right side
    403.69x = 69,665.38
  5. Step 5: Solve for x
    x = 69,665.38/403.69
  6. Step 6: Final answer
    x = 172.57

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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.