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Finding the Fourth Proportional to 518.12, 773.14 and 472.12

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Solution

The fourth proportional to 518.12, 773.14 and 472.12 is: 704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.12 : 773.14 = 472.12 : x
  2. Step 2: Convert to fraction form
    518.12/773.14 = 472.12/x
  3. Step 3: Cross multiply
    518.12x = 773.14 × 472.12
  4. Step 4: Simplify right side
    518.12x = 365,014.86
  5. Step 5: Solve for x
    x = 365,014.86/518.12
  6. Step 6: Final answer
    x = 704.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.