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Finding the Fourth Proportional to 514.25, 709.77 and 327.69

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Solution

The fourth proportional to 514.25, 709.77 and 327.69 is: 452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.25 : 709.77 = 327.69 : x
  2. Step 2: Convert to fraction form
    514.25/709.77 = 327.69/x
  3. Step 3: Cross multiply
    514.25x = 709.77 × 327.69
  4. Step 4: Simplify right side
    514.25x = 232,588.42
  5. Step 5: Solve for x
    x = 232,588.42/514.25
  6. Step 6: Final answer
    x = 452.29

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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.