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Finding the Fourth Proportional to 446.18, 669.31 and 172.24

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Solution

The fourth proportional to 446.18, 669.31 and 172.24 is: 258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.18 : 669.31 = 172.24 : x
  2. Step 2: Convert to fraction form
    446.18/669.31 = 172.24/x
  3. Step 3: Cross multiply
    446.18x = 669.31 × 172.24
  4. Step 4: Simplify right side
    446.18x = 115,279.85
  5. Step 5: Solve for x
    x = 115,279.85/446.18
  6. Step 6: Final answer
    x = 258.37

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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.