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Finding the Fourth Proportional to 445.94, 669.06 and 172.04

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Solution

The fourth proportional to 445.94, 669.06 and 172.04 is: 258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.94 : 669.06 = 172.04 : x
  2. Step 2: Convert to fraction form
    445.94/669.06 = 172.04/x
  3. Step 3: Cross multiply
    445.94x = 669.06 × 172.04
  4. Step 4: Simplify right side
    445.94x = 115,105.08
  5. Step 5: Solve for x
    x = 115,105.08/445.94
  6. Step 6: Final answer
    x = 258.12

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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.