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Finding the Fourth Proportional to 645.67, 891.41 and 448.84

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Solution

The fourth proportional to 645.67, 891.41 and 448.84 is: 619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.67 : 891.41 = 448.84 : x
  2. Step 2: Convert to fraction form
    645.67/891.41 = 448.84/x
  3. Step 3: Cross multiply
    645.67x = 891.41 × 448.84
  4. Step 4: Simplify right side
    645.67x = 400,099.33
  5. Step 5: Solve for x
    x = 400,099.33/645.67
  6. Step 6: Final answer
    x = 619.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.