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Finding the Fourth Proportional to 606.16, 836.76 and 409.94

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Solution

The fourth proportional to 606.16, 836.76 and 409.94 is: 565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.16 : 836.76 = 409.94 : x
  2. Step 2: Convert to fraction form
    606.16/836.76 = 409.94/x
  3. Step 3: Cross multiply
    606.16x = 836.76 × 409.94
  4. Step 4: Simplify right side
    606.16x = 343,015.16
  5. Step 5: Solve for x
    x = 343,015.16/606.16
  6. Step 6: Final answer
    x = 565.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.