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Finding the Fourth Proportional to 609.34, 841.04 and 410.20

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Solution

The fourth proportional to 609.34, 841.04 and 410.20 is: 566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.34 : 841.04 = 410.20 : x
  2. Step 2: Convert to fraction form
    609.34/841.04 = 410.20/x
  3. Step 3: Cross multiply
    609.34x = 841.04 × 410.20
  4. Step 4: Simplify right side
    609.34x = 344,994.61
  5. Step 5: Solve for x
    x = 344,994.61/609.34
  6. Step 6: Final answer
    x = 566.18

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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.