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Finding the Fourth Proportional to 446.61, 669.52 and 172.90

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Solution

The fourth proportional to 446.61, 669.52 and 172.90 is: 259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.61 : 669.52 = 172.90 : x
  2. Step 2: Convert to fraction form
    446.61/669.52 = 172.90/x
  3. Step 3: Cross multiply
    446.61x = 669.52 × 172.90
  4. Step 4: Simplify right side
    446.61x = 115,760.01
  5. Step 5: Solve for x
    x = 115,760.01/446.61
  6. Step 6: Final answer
    x = 259.20

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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.