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Finding the Fourth Proportional to 606, 836.16 and 357.28

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Solution

The fourth proportional to 606, 836.16 and 357.28 is: 492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    606 : 836.16 = 357.28 : x
  2. Step 2: Convert to fraction form
    606/836.16 = 357.28/x
  3. Step 3: Cross multiply
    606x = 836.16 × 357.28
  4. Step 4: Simplify right side
    606x = 298,743.24
  5. Step 5: Solve for x
    x = 298,743.24/606
  6. Step 6: Final answer
    x = 492.98

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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.