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Finding the Fourth Proportional to 606.04, 836.76 and 409.72

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Solution

The fourth proportional to 606.04, 836.76 and 409.72 is: 565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.04 : 836.76 = 409.72 : x
  2. Step 2: Convert to fraction form
    606.04/836.76 = 409.72/x
  3. Step 3: Cross multiply
    606.04x = 836.76 × 409.72
  4. Step 4: Simplify right side
    606.04x = 342,837.31
  5. Step 5: Solve for x
    x = 342,837.31/606.04
  6. Step 6: Final answer
    x = 565.70

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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.