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Finding the Fourth Proportional to 605.92, 836.16 and 409.48

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Solution

The fourth proportional to 605.92, 836.16 and 409.48 is: 565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.92 : 836.16 = 409.48 : x
  2. Step 2: Convert to fraction form
    605.92/836.16 = 409.48/x
  3. Step 3: Cross multiply
    605.92x = 836.16 × 409.48
  4. Step 4: Simplify right side
    605.92x = 342,390.80
  5. Step 5: Solve for x
    x = 342,390.80/605.92
  6. Step 6: Final answer
    x = 565.08

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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.