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Finding the Fourth Proportional to 606.80, 836.70 and 410.42

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Solution

The fourth proportional to 606.80, 836.70 and 410.42 is: 565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.80 : 836.70 = 410.42 : x
  2. Step 2: Convert to fraction form
    606.80/836.70 = 410.42/x
  3. Step 3: Cross multiply
    606.80x = 836.70 × 410.42
  4. Step 4: Simplify right side
    606.80x = 343,398.41
  5. Step 5: Solve for x
    x = 343,398.41/606.80
  6. Step 6: Final answer
    x = 565.92

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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.