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Finding the Fourth Proportional to 605.92, 836.22 and 357.16

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Solution

The fourth proportional to 605.92, 836.22 and 357.16 is: 492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.92 : 836.22 = 357.16 : x
  2. Step 2: Convert to fraction form
    605.92/836.22 = 357.16/x
  3. Step 3: Cross multiply
    605.92x = 836.22 × 357.16
  4. Step 4: Simplify right side
    605.92x = 298,664.34
  5. Step 5: Solve for x
    x = 298,664.34/605.92
  6. Step 6: Final answer
    x = 492.91

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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.