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Finding the Fourth Proportional to 520.71, 780.38 and 212.79

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Solution

The fourth proportional to 520.71, 780.38 and 212.79 is: 318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.71 : 780.38 = 212.79 : x
  2. Step 2: Convert to fraction form
    520.71/780.38 = 212.79/x
  3. Step 3: Cross multiply
    520.71x = 780.38 × 212.79
  4. Step 4: Simplify right side
    520.71x = 166,059.72
  5. Step 5: Solve for x
    x = 166,059.72/520.71
  6. Step 6: Final answer
    x = 318.91

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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.