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Finding the Fourth Proportional to 613.86, 920.22 and 305.82

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Solution

The fourth proportional to 613.86, 920.22 and 305.82 is: 458.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.86 : 920.22 = 305.82 : x
  2. Step 2: Convert to fraction form
    613.86/920.22 = 305.82/x
  3. Step 3: Cross multiply
    613.86x = 920.22 × 305.82
  4. Step 4: Simplify right side
    613.86x = 281,421.68
  5. Step 5: Solve for x
    x = 281,421.68/613.86
  6. Step 6: Final answer
    x = 458.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.