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Finding the Fourth Proportional to 451.96, 619.43 and 446.20

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Solution

The fourth proportional to 451.96, 619.43 and 446.20 is: 611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.96 : 619.43 = 446.20 : x
  2. Step 2: Convert to fraction form
    451.96/619.43 = 446.20/x
  3. Step 3: Cross multiply
    451.96x = 619.43 × 446.20
  4. Step 4: Simplify right side
    451.96x = 276,389.67
  5. Step 5: Solve for x
    x = 276,389.67/451.96
  6. Step 6: Final answer
    x = 611.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.