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Finding the Fourth Proportional to 518.44, 773.87 and 456.93

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Solution

The fourth proportional to 518.44, 773.87 and 456.93 is: 682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.44 : 773.87 = 456.93 : x
  2. Step 2: Convert to fraction form
    518.44/773.87 = 456.93/x
  3. Step 3: Cross multiply
    518.44x = 773.87 × 456.93
  4. Step 4: Simplify right side
    518.44x = 353,605.21
  5. Step 5: Solve for x
    x = 353,605.21/518.44
  6. Step 6: Final answer
    x = 682.06

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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.