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Finding the Fourth Proportional to 514.18, 772.31 and 309.14

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Solution

The fourth proportional to 514.18, 772.31 and 309.14 is: 464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.18 : 772.31 = 309.14 : x
  2. Step 2: Convert to fraction form
    514.18/772.31 = 309.14/x
  3. Step 3: Cross multiply
    514.18x = 772.31 × 309.14
  4. Step 4: Simplify right side
    514.18x = 238,751.91
  5. Step 5: Solve for x
    x = 238,751.91/514.18
  6. Step 6: Final answer
    x = 464.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.