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Finding the Fourth Proportional to 581.22, 872.96 and 451.48

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Solution

The fourth proportional to 581.22, 872.96 and 451.48 is: 678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.22 : 872.96 = 451.48 : x
  2. Step 2: Convert to fraction form
    581.22/872.96 = 451.48/x
  3. Step 3: Cross multiply
    581.22x = 872.96 × 451.48
  4. Step 4: Simplify right side
    581.22x = 394,122.93
  5. Step 5: Solve for x
    x = 394,122.93/581.22
  6. Step 6: Final answer
    x = 678.10

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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.