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Finding the Fourth Proportional to 446.41, 669.83 and 172.60

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Solution

The fourth proportional to 446.41, 669.83 and 172.60 is: 258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.41 : 669.83 = 172.60 : x
  2. Step 2: Convert to fraction form
    446.41/669.83 = 172.60/x
  3. Step 3: Cross multiply
    446.41x = 669.83 × 172.60
  4. Step 4: Simplify right side
    446.41x = 115,612.66
  5. Step 5: Solve for x
    x = 115,612.66/446.41
  6. Step 6: Final answer
    x = 258.98

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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.