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Finding the Fourth Proportional to 606.08, 837.08 and 409.25

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Solution

The fourth proportional to 606.08, 837.08 and 409.25 is: 565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.08 : 837.08 = 409.25 : x
  2. Step 2: Convert to fraction form
    606.08/837.08 = 409.25/x
  3. Step 3: Cross multiply
    606.08x = 837.08 × 409.25
  4. Step 4: Simplify right side
    606.08x = 342,574.99
  5. Step 5: Solve for x
    x = 342,574.99/606.08
  6. Step 6: Final answer
    x = 565.23

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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.