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Finding the Fourth Proportional to 403.02, 605.25 and 310.77

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Solution

The fourth proportional to 403.02, 605.25 and 310.77 is: 466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.02 : 605.25 = 310.77 : x
  2. Step 2: Convert to fraction form
    403.02/605.25 = 310.77/x
  3. Step 3: Cross multiply
    403.02x = 605.25 × 310.77
  4. Step 4: Simplify right side
    403.02x = 188,093.54
  5. Step 5: Solve for x
    x = 188,093.54/403.02
  6. Step 6: Final answer
    x = 466.71

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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.