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Finding the Fourth Proportional to 446.23, 669.54 and 172.29

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Solution

The fourth proportional to 446.23, 669.54 and 172.29 is: 258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.23 : 669.54 = 172.29 : x
  2. Step 2: Convert to fraction form
    446.23/669.54 = 172.29/x
  3. Step 3: Cross multiply
    446.23x = 669.54 × 172.29
  4. Step 4: Simplify right side
    446.23x = 115,355.05
  5. Step 5: Solve for x
    x = 115,355.05/446.23
  6. Step 6: Final answer
    x = 258.51

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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.