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Finding the Fourth Proportional to 516.38, 774.56 and 324.14

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Solution

The fourth proportional to 516.38, 774.56 and 324.14 is: 486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 774.56 = 324.14 : x
  2. Step 2: Convert to fraction form
    516.38/774.56 = 324.14/x
  3. Step 3: Cross multiply
    516.38x = 774.56 × 324.14
  4. Step 4: Simplify right side
    516.38x = 251,062.82
  5. Step 5: Solve for x
    x = 251,062.82/516.38
  6. Step 6: Final answer
    x = 486.20

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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.