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Finding the Fourth Proportional to 614.24, 921.96 and 451.46

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Solution

The fourth proportional to 614.24, 921.96 and 451.46 is: 677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.24 : 921.96 = 451.46 : x
  2. Step 2: Convert to fraction form
    614.24/921.96 = 451.46/x
  3. Step 3: Cross multiply
    614.24x = 921.96 × 451.46
  4. Step 4: Simplify right side
    614.24x = 416,228.06
  5. Step 5: Solve for x
    x = 416,228.06/614.24
  6. Step 6: Final answer
    x = 677.63

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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.