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Finding the Fourth Proportional to 606.29, 909.59 and 173.44

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Solution

The fourth proportional to 606.29, 909.59 and 173.44 is: 260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.29 : 909.59 = 173.44 : x
  2. Step 2: Convert to fraction form
    606.29/909.59 = 173.44/x
  3. Step 3: Cross multiply
    606.29x = 909.59 × 173.44
  4. Step 4: Simplify right side
    606.29x = 157,756.15
  5. Step 5: Solve for x
    x = 157,756.15/606.29
  6. Step 6: Final answer
    x = 260.20

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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.