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Finding the Fourth Proportional to 613.26, 846 and 380.34

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Solution

The fourth proportional to 613.26, 846 and 380.34 is: 524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.26 : 846 = 380.34 : x
  2. Step 2: Convert to fraction form
    613.26/846 = 380.34/x
  3. Step 3: Cross multiply
    613.26x = 846 × 380.34
  4. Step 4: Simplify right side
    613.26x = 321,767.64
  5. Step 5: Solve for x
    x = 321,767.64/613.26
  6. Step 6: Final answer
    x = 524.68

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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.