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Finding the Fourth Proportional to 606.87, 837.63 and 410.85

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Solution

The fourth proportional to 606.87, 837.63 and 410.85 is: 567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.87 : 837.63 = 410.85 : x
  2. Step 2: Convert to fraction form
    606.87/837.63 = 410.85/x
  3. Step 3: Cross multiply
    606.87x = 837.63 × 410.85
  4. Step 4: Simplify right side
    606.87x = 344,140.29
  5. Step 5: Solve for x
    x = 344,140.29/606.87
  6. Step 6: Final answer
    x = 567.07

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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.