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Finding the Fourth Proportional to 403.80, 605.52 and 115.17

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Solution

The fourth proportional to 403.80, 605.52 and 115.17 is: 172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 605.52 = 115.17 : x
  2. Step 2: Convert to fraction form
    403.80/605.52 = 115.17/x
  3. Step 3: Cross multiply
    403.80x = 605.52 × 115.17
  4. Step 4: Simplify right side
    403.80x = 69,737.74
  5. Step 5: Solve for x
    x = 69,737.74/403.80
  6. Step 6: Final answer
    x = 172.70

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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.