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Finding the Fourth Proportional to 520.40, 780.41 and 212.09

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Solution

The fourth proportional to 520.40, 780.41 and 212.09 is: 318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.40 : 780.41 = 212.09 : x
  2. Step 2: Convert to fraction form
    520.40/780.41 = 212.09/x
  3. Step 3: Cross multiply
    520.40x = 780.41 × 212.09
  4. Step 4: Simplify right side
    520.40x = 165,512.59
  5. Step 5: Solve for x
    x = 165,512.59/520.40
  6. Step 6: Final answer
    x = 318.05

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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.