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Finding the Fourth Proportional to 514.12, 709.10 and 327.40

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Solution

The fourth proportional to 514.12, 709.10 and 327.40 is: 451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.12 : 709.10 = 327.40 : x
  2. Step 2: Convert to fraction form
    514.12/709.10 = 327.40/x
  3. Step 3: Cross multiply
    514.12x = 709.10 × 327.40
  4. Step 4: Simplify right side
    514.12x = 232,159.34
  5. Step 5: Solve for x
    x = 232,159.34/514.12
  6. Step 6: Final answer
    x = 451.57

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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.