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Finding the Fourth Proportional to 609.25, 841.17 and 410.30

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Solution

The fourth proportional to 609.25, 841.17 and 410.30 is: 566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.25 : 841.17 = 410.30 : x
  2. Step 2: Convert to fraction form
    609.25/841.17 = 410.30/x
  3. Step 3: Cross multiply
    609.25x = 841.17 × 410.30
  4. Step 4: Simplify right side
    609.25x = 345,130.23
  5. Step 5: Solve for x
    x = 345,130.23/609.25
  6. Step 6: Final answer
    x = 566.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.