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Finding the Fourth Proportional to 613.94, 846.33 and 448.34

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Solution

The fourth proportional to 613.94, 846.33 and 448.34 is: 618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.94 : 846.33 = 448.34 : x
  2. Step 2: Convert to fraction form
    613.94/846.33 = 448.34/x
  3. Step 3: Cross multiply
    613.94x = 846.33 × 448.34
  4. Step 4: Simplify right side
    613.94x = 379,443.59
  5. Step 5: Solve for x
    x = 379,443.59/613.94
  6. Step 6: Final answer
    x = 618.05

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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.