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Finding the Fourth Proportional to 521.69, 781.43 and 418.41

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Solution

The fourth proportional to 521.69, 781.43 and 418.41 is: 626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.69 : 781.43 = 418.41 : x
  2. Step 2: Convert to fraction form
    521.69/781.43 = 418.41/x
  3. Step 3: Cross multiply
    521.69x = 781.43 × 418.41
  4. Step 4: Simplify right side
    521.69x = 326,956.03
  5. Step 5: Solve for x
    x = 326,956.03/521.69
  6. Step 6: Final answer
    x = 626.73

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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.