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Finding the Fourth Proportional to 606.02, 836.33 and 344.02

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Solution

The fourth proportional to 606.02, 836.33 and 344.02 is: 474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.02 : 836.33 = 344.02 : x
  2. Step 2: Convert to fraction form
    606.02/836.33 = 344.02/x
  3. Step 3: Cross multiply
    606.02x = 836.33 × 344.02
  4. Step 4: Simplify right side
    606.02x = 287,714.25
  5. Step 5: Solve for x
    x = 287,714.25/606.02
  6. Step 6: Final answer
    x = 474.76

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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.