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Finding the Fourth Proportional to 520.13, 780.24 and 211.97

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Solution

The fourth proportional to 520.13, 780.24 and 211.97 is: 317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.13 : 780.24 = 211.97 : x
  2. Step 2: Convert to fraction form
    520.13/780.24 = 211.97/x
  3. Step 3: Cross multiply
    520.13x = 780.24 × 211.97
  4. Step 4: Simplify right side
    520.13x = 165,387.47
  5. Step 5: Solve for x
    x = 165,387.47/520.13
  6. Step 6: Final answer
    x = 317.97

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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.