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Finding the Fourth Proportional to 606.34, 909.60 and 173.53

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Solution

The fourth proportional to 606.34, 909.60 and 173.53 is: 260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.34 : 909.60 = 173.53 : x
  2. Step 2: Convert to fraction form
    606.34/909.60 = 173.53/x
  3. Step 3: Cross multiply
    606.34x = 909.60 × 173.53
  4. Step 4: Simplify right side
    606.34x = 157,842.89
  5. Step 5: Solve for x
    x = 157,842.89/606.34
  6. Step 6: Final answer
    x = 260.32

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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.