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Finding the Fourth Proportional to 606.92, 836.98 and 382.68

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Solution

The fourth proportional to 606.92, 836.98 and 382.68 is: 527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.92 : 836.98 = 382.68 : x
  2. Step 2: Convert to fraction form
    606.92/836.98 = 382.68/x
  3. Step 3: Cross multiply
    606.92x = 836.98 × 382.68
  4. Step 4: Simplify right side
    606.92x = 320,295.51
  5. Step 5: Solve for x
    x = 320,295.51/606.92
  6. Step 6: Final answer
    x = 527.74

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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.