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Finding the Fourth Proportional to 606.96, 837.84 and 410.56

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Solution

The fourth proportional to 606.96, 837.84 and 410.56 is: 566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.96 : 837.84 = 410.56 : x
  2. Step 2: Convert to fraction form
    606.96/837.84 = 410.56/x
  3. Step 3: Cross multiply
    606.96x = 837.84 × 410.56
  4. Step 4: Simplify right side
    606.96x = 343,983.59
  5. Step 5: Solve for x
    x = 343,983.59/606.96
  6. Step 6: Final answer
    x = 566.73

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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.