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Finding the Fourth Proportional to 613.06, 846.10 and 380.22

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Solution

The fourth proportional to 613.06, 846.10 and 380.22 is: 524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.06 : 846.10 = 380.22 : x
  2. Step 2: Convert to fraction form
    613.06/846.10 = 380.22/x
  3. Step 3: Cross multiply
    613.06x = 846.10 × 380.22
  4. Step 4: Simplify right side
    613.06x = 321,704.14
  5. Step 5: Solve for x
    x = 321,704.14/613.06
  6. Step 6: Final answer
    x = 524.75

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Why These Related Problems?

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