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Finding the Fourth Proportional to 613.33, 846.20 and 380.45

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Solution

The fourth proportional to 613.33, 846.20 and 380.45 is: 524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.33 : 846.20 = 380.45 : x
  2. Step 2: Convert to fraction form
    613.33/846.20 = 380.45/x
  3. Step 3: Cross multiply
    613.33x = 846.20 × 380.45
  4. Step 4: Simplify right side
    613.33x = 321,939.86
  5. Step 5: Solve for x
    x = 321,939.86/613.33
  6. Step 6: Final answer
    x = 524.91

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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.