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Finding the Fourth Proportional to 606.69, 910.05 and 173.86

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Solution

The fourth proportional to 606.69, 910.05 and 173.86 is: 260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.69 : 910.05 = 173.86 : x
  2. Step 2: Convert to fraction form
    606.69/910.05 = 173.86/x
  3. Step 3: Cross multiply
    606.69x = 910.05 × 173.86
  4. Step 4: Simplify right side
    606.69x = 158,221.29
  5. Step 5: Solve for x
    x = 158,221.29/606.69
  6. Step 6: Final answer
    x = 260.79

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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.