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Finding the Fourth Proportional to 403.66, 605.69 and 172.62

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Solution

The fourth proportional to 403.66, 605.69 and 172.62 is: 259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.66 : 605.69 = 172.62 : x
  2. Step 2: Convert to fraction form
    403.66/605.69 = 172.62/x
  3. Step 3: Cross multiply
    403.66x = 605.69 × 172.62
  4. Step 4: Simplify right side
    403.66x = 104,554.21
  5. Step 5: Solve for x
    x = 104,554.21/403.66
  6. Step 6: Final answer
    x = 259.02

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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.