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Finding the Fourth Proportional to 520.31, 780.47 and 212.09

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Solution

The fourth proportional to 520.31, 780.47 and 212.09 is: 318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.31 : 780.47 = 212.09 : x
  2. Step 2: Convert to fraction form
    520.31/780.47 = 212.09/x
  3. Step 3: Cross multiply
    520.31x = 780.47 × 212.09
  4. Step 4: Simplify right side
    520.31x = 165,530.77
  5. Step 5: Solve for x
    x = 165,530.77/520.31
  6. Step 6: Final answer
    x = 318.14

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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.