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Finding the Fourth Proportional to 609.26, 841.07 and 410.13

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Solution

The fourth proportional to 609.26, 841.07 and 410.13 is: 566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.26 : 841.07 = 410.13 : x
  2. Step 2: Convert to fraction form
    609.26/841.07 = 410.13/x
  3. Step 3: Cross multiply
    609.26x = 841.07 × 410.13
  4. Step 4: Simplify right side
    609.26x = 344,949.06
  5. Step 5: Solve for x
    x = 344,949.06/609.26
  6. Step 6: Final answer
    x = 566.18

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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.