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Finding the Fourth Proportional to 446.92, 670.26 and 172.86

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Solution

The fourth proportional to 446.92, 670.26 and 172.86 is: 259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.92 : 670.26 = 172.86 : x
  2. Step 2: Convert to fraction form
    446.92/670.26 = 172.86/x
  3. Step 3: Cross multiply
    446.92x = 670.26 × 172.86
  4. Step 4: Simplify right side
    446.92x = 115,861.14
  5. Step 5: Solve for x
    x = 115,861.14/446.92
  6. Step 6: Final answer
    x = 259.24

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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.