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Finding the Fourth Proportional to 403.35, 605.28 and 172.24

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Solution

The fourth proportional to 403.35, 605.28 and 172.24 is: 258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.35 : 605.28 = 172.24 : x
  2. Step 2: Convert to fraction form
    403.35/605.28 = 172.24/x
  3. Step 3: Cross multiply
    403.35x = 605.28 × 172.24
  4. Step 4: Simplify right side
    403.35x = 104,253.38
  5. Step 5: Solve for x
    x = 104,253.38/403.35
  6. Step 6: Final answer
    x = 258.47

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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.