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Finding the Fourth Proportional to 606.10, 836.16 and 369.85

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Solution

The fourth proportional to 606.10, 836.16 and 369.85 is: 510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.10 : 836.16 = 369.85 : x
  2. Step 2: Convert to fraction form
    606.10/836.16 = 369.85/x
  3. Step 3: Cross multiply
    606.10x = 836.16 × 369.85
  4. Step 4: Simplify right side
    606.10x = 309,253.78
  5. Step 5: Solve for x
    x = 309,253.78/606.10
  6. Step 6: Final answer
    x = 510.24

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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.