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Finding the Fourth Proportional to 446.42, 669.66 and 172.51

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Solution

The fourth proportional to 446.42, 669.66 and 172.51 is: 258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.42 : 669.66 = 172.51 : x
  2. Step 2: Convert to fraction form
    446.42/669.66 = 172.51/x
  3. Step 3: Cross multiply
    446.42x = 669.66 × 172.51
  4. Step 4: Simplify right side
    446.42x = 115,523.24
  5. Step 5: Solve for x
    x = 115,523.24/446.42
  6. Step 6: Final answer
    x = 258.78

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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.