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Finding the Fourth Proportional to 451.46, 677.14 and 314.44

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Solution

The fourth proportional to 451.46, 677.14 and 314.44 is: 471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.46 : 677.14 = 314.44 : x
  2. Step 2: Convert to fraction form
    451.46/677.14 = 314.44/x
  3. Step 3: Cross multiply
    451.46x = 677.14 × 314.44
  4. Step 4: Simplify right side
    451.46x = 212,919.90
  5. Step 5: Solve for x
    x = 212,919.90/451.46
  6. Step 6: Final answer
    x = 471.63

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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.