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Finding the Fourth Proportional to 606.64, 836.94 and 409.84

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Solution

The fourth proportional to 606.64, 836.94 and 409.84 is: 565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.64 : 836.94 = 409.84 : x
  2. Step 2: Convert to fraction form
    606.64/836.94 = 409.84/x
  3. Step 3: Cross multiply
    606.64x = 836.94 × 409.84
  4. Step 4: Simplify right side
    606.64x = 343,011.49
  5. Step 5: Solve for x
    x = 343,011.49/606.64
  6. Step 6: Final answer
    x = 565.43

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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.