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Finding the Fourth Proportional to 606.64, 836.16 and 409.80

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Solution

The fourth proportional to 606.64, 836.16 and 409.80 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.64 : 836.16 = 409.80 : x
  2. Step 2: Convert to fraction form
    606.64/836.16 = 409.80/x
  3. Step 3: Cross multiply
    606.64x = 836.16 × 409.80
  4. Step 4: Simplify right side
    606.64x = 342,658.37
  5. Step 5: Solve for x
    x = 342,658.37/606.64
  6. Step 6: Final answer
    x = 564.85

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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.