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Finding the Fourth Proportional to 439.18, 605.21 and 410.63

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Solution

The fourth proportional to 439.18, 605.21 and 410.63 is: 565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.18 : 605.21 = 410.63 : x
  2. Step 2: Convert to fraction form
    439.18/605.21 = 410.63/x
  3. Step 3: Cross multiply
    439.18x = 605.21 × 410.63
  4. Step 4: Simplify right side
    439.18x = 248,517.38
  5. Step 5: Solve for x
    x = 248,517.38/439.18
  6. Step 6: Final answer
    x = 565.87

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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.