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Finding the Fourth Proportional to 606.35, 910.14 and 537.38

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Solution

The fourth proportional to 606.35, 910.14 and 537.38 is: 806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.35 : 910.14 = 537.38 : x
  2. Step 2: Convert to fraction form
    606.35/910.14 = 537.38/x
  3. Step 3: Cross multiply
    606.35x = 910.14 × 537.38
  4. Step 4: Simplify right side
    606.35x = 489,086.48
  5. Step 5: Solve for x
    x = 489,086.48/606.35
  6. Step 6: Final answer
    x = 806.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.