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Finding the Fourth Proportional to 622.86, 932.67 and 406.86

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Solution

The fourth proportional to 622.86, 932.67 and 406.86 is: 609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.86 : 932.67 = 406.86 : x
  2. Step 2: Convert to fraction form
    622.86/932.67 = 406.86/x
  3. Step 3: Cross multiply
    622.86x = 932.67 × 406.86
  4. Step 4: Simplify right side
    622.86x = 379,466.12
  5. Step 5: Solve for x
    x = 379,466.12/622.86
  6. Step 6: Final answer
    x = 609.23

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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.