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Finding the Fourth Proportional to 408.99, 610.14 and 397.83

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Solution

The fourth proportional to 408.99, 610.14 and 397.83 is: 593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.99 : 610.14 = 397.83 : x
  2. Step 2: Convert to fraction form
    408.99/610.14 = 397.83/x
  3. Step 3: Cross multiply
    408.99x = 610.14 × 397.83
  4. Step 4: Simplify right side
    408.99x = 242,732.00
  5. Step 5: Solve for x
    x = 242,732.00/408.99
  6. Step 6: Final answer
    x = 593.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.