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Finding the Fourth Proportional to 408.66, 567.83 and 403.44

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Solution

The fourth proportional to 408.66, 567.83 and 403.44 is: 560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.66 : 567.83 = 403.44 : x
  2. Step 2: Convert to fraction form
    408.66/567.83 = 403.44/x
  3. Step 3: Cross multiply
    408.66x = 567.83 × 403.44
  4. Step 4: Simplify right side
    408.66x = 229,083.32
  5. Step 5: Solve for x
    x = 229,083.32/408.66
  6. Step 6: Final answer
    x = 560.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.