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Finding the Fourth Proportional to 521.70, 781.11 and 444.21

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Solution

The fourth proportional to 521.70, 781.11 and 444.21 is: 665.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.70 : 781.11 = 444.21 : x
  2. Step 2: Convert to fraction form
    521.70/781.11 = 444.21/x
  3. Step 3: Cross multiply
    521.70x = 781.11 × 444.21
  4. Step 4: Simplify right side
    521.70x = 346,976.87
  5. Step 5: Solve for x
    x = 346,976.87/521.70
  6. Step 6: Final answer
    x = 665.09

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