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Finding the Fourth Proportional to 446.16, 669.50 and 172.46

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Solution

The fourth proportional to 446.16, 669.50 and 172.46 is: 258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.16 : 669.50 = 172.46 : x
  2. Step 2: Convert to fraction form
    446.16/669.50 = 172.46/x
  3. Step 3: Cross multiply
    446.16x = 669.50 × 172.46
  4. Step 4: Simplify right side
    446.16x = 115,461.97
  5. Step 5: Solve for x
    x = 115,461.97/446.16
  6. Step 6: Final answer
    x = 258.79

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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.