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Finding the Fourth Proportional to 408.67, 563.51 and 369.79

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Solution

The fourth proportional to 408.67, 563.51 and 369.79 is: 509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.67 : 563.51 = 369.79 : x
  2. Step 2: Convert to fraction form
    408.67/563.51 = 369.79/x
  3. Step 3: Cross multiply
    408.67x = 563.51 × 369.79
  4. Step 4: Simplify right side
    408.67x = 208,379.88
  5. Step 5: Solve for x
    x = 208,379.88/408.67
  6. Step 6: Final answer
    x = 509.90

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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.