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Finding the Fourth Proportional to 513.98, 709.21 and 327.14

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Solution

The fourth proportional to 513.98, 709.21 and 327.14 is: 451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.98 : 709.21 = 327.14 : x
  2. Step 2: Convert to fraction form
    513.98/709.21 = 327.14/x
  3. Step 3: Cross multiply
    513.98x = 709.21 × 327.14
  4. Step 4: Simplify right side
    513.98x = 232,010.96
  5. Step 5: Solve for x
    x = 232,010.96/513.98
  6. Step 6: Final answer
    x = 451.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.