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Finding the Fourth Proportional to 403.65, 605.74 and 259.47

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Solution

The fourth proportional to 403.65, 605.74 and 259.47 is: 389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.65 : 605.74 = 259.47 : x
  2. Step 2: Convert to fraction form
    403.65/605.74 = 259.47/x
  3. Step 3: Cross multiply
    403.65x = 605.74 × 259.47
  4. Step 4: Simplify right side
    403.65x = 157,168.33
  5. Step 5: Solve for x
    x = 157,168.33/403.65
  6. Step 6: Final answer
    x = 389.37

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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.