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Finding the Fourth Proportional to 613.25, 846.29 and 337.25

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Solution

The fourth proportional to 613.25, 846.29 and 337.25 is: 465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.25 : 846.29 = 337.25 : x
  2. Step 2: Convert to fraction form
    613.25/846.29 = 337.25/x
  3. Step 3: Cross multiply
    613.25x = 846.29 × 337.25
  4. Step 4: Simplify right side
    613.25x = 285,409.62
  5. Step 5: Solve for x
    x = 285,409.62/613.25
  6. Step 6: Final answer
    x = 465.41

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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.