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Finding the Fourth Proportional to 408.93, 564.59 and 365.19

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Solution

The fourth proportional to 408.93, 564.59 and 365.19 is: 504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.93 : 564.59 = 365.19 : x
  2. Step 2: Convert to fraction form
    408.93/564.59 = 365.19/x
  3. Step 3: Cross multiply
    408.93x = 564.59 × 365.19
  4. Step 4: Simplify right side
    408.93x = 206,180.80
  5. Step 5: Solve for x
    x = 206,180.80/408.93
  6. Step 6: Final answer
    x = 504.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.