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Finding the Fourth Proportional to 389.97, 585 and 116.06

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Solution

The fourth proportional to 389.97, 585 and 116.06 is: 174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.97 : 585 = 116.06 : x
  2. Step 2: Convert to fraction form
    389.97/585 = 116.06/x
  3. Step 3: Cross multiply
    389.97x = 585 × 116.06
  4. Step 4: Simplify right side
    389.97x = 67,892.18
  5. Step 5: Solve for x
    x = 67,892.18/389.97
  6. Step 6: Final answer
    x = 174.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.