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Finding the Fourth Proportional to 403.85, 605.01 and 339.27

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Solution

The fourth proportional to 403.85, 605.01 and 339.27 is: 508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.85 : 605.01 = 339.27 : x
  2. Step 2: Convert to fraction form
    403.85/605.01 = 339.27/x
  3. Step 3: Cross multiply
    403.85x = 605.01 × 339.27
  4. Step 4: Simplify right side
    403.85x = 205,258.72
  5. Step 5: Solve for x
    x = 205,258.72/403.85
  6. Step 6: Final answer
    x = 508.25

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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.