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Finding the Fourth Proportional to 500.63, 750.77 and 212.09

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Solution

The fourth proportional to 500.63, 750.77 and 212.09 is: 318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.63 : 750.77 = 212.09 : x
  2. Step 2: Convert to fraction form
    500.63/750.77 = 212.09/x
  3. Step 3: Cross multiply
    500.63x = 750.77 × 212.09
  4. Step 4: Simplify right side
    500.63x = 159,229.75
  5. Step 5: Solve for x
    x = 159,229.75/500.63
  6. Step 6: Final answer
    x = 318.06

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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.