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Finding the Fourth Proportional to 500.67, 751.31 and 212.11

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Solution

The fourth proportional to 500.67, 751.31 and 212.11 is: 318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.67 : 751.31 = 212.11 : x
  2. Step 2: Convert to fraction form
    500.67/751.31 = 212.11/x
  3. Step 3: Cross multiply
    500.67x = 751.31 × 212.11
  4. Step 4: Simplify right side
    500.67x = 159,359.02
  5. Step 5: Solve for x
    x = 159,359.02/500.67
  6. Step 6: Final answer
    x = 318.29

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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.