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Finding the Fourth Proportional to 439.02, 605.00 and 409.83

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Solution

The fourth proportional to 439.02, 605.00 and 409.83 is: 564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.02 : 605.00 = 409.83 : x
  2. Step 2: Convert to fraction form
    439.02/605.00 = 409.83/x
  3. Step 3: Cross multiply
    439.02x = 605.00 × 409.83
  4. Step 4: Simplify right side
    439.02x = 247,945.91
  5. Step 5: Solve for x
    x = 247,945.91/439.02
  6. Step 6: Final answer
    x = 564.77

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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.