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Finding the Fourth Proportional to 520.96, 781.46 and 212.82

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Solution

The fourth proportional to 520.96, 781.46 and 212.82 is: 319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.96 : 781.46 = 212.82 : x
  2. Step 2: Convert to fraction form
    520.96/781.46 = 212.82/x
  3. Step 3: Cross multiply
    520.96x = 781.46 × 212.82
  4. Step 4: Simplify right side
    520.96x = 166,310.32
  5. Step 5: Solve for x
    x = 166,310.32/520.96
  6. Step 6: Final answer
    x = 319.24

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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.