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Finding the Fourth Proportional to 446.67, 669.96 and 172.76

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Solution

The fourth proportional to 446.67, 669.96 and 172.76 is: 259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.67 : 669.96 = 172.76 : x
  2. Step 2: Convert to fraction form
    446.67/669.96 = 172.76/x
  3. Step 3: Cross multiply
    446.67x = 669.96 × 172.76
  4. Step 4: Simplify right side
    446.67x = 115,738.94
  5. Step 5: Solve for x
    x = 115,738.94/446.67
  6. Step 6: Final answer
    x = 259.12

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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.