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Finding the Fourth Proportional to 514.34, 709.52 and 327.84

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Solution

The fourth proportional to 514.34, 709.52 and 327.84 is: 452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.34 : 709.52 = 327.84 : x
  2. Step 2: Convert to fraction form
    514.34/709.52 = 327.84/x
  3. Step 3: Cross multiply
    514.34x = 709.52 × 327.84
  4. Step 4: Simplify right side
    514.34x = 232,609.04
  5. Step 5: Solve for x
    x = 232,609.04/514.34
  6. Step 6: Final answer
    x = 452.25

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