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Finding the Fourth Proportional to 446.49, 669.83 and 172.71

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Solution

The fourth proportional to 446.49, 669.83 and 172.71 is: 259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.49 : 669.83 = 172.71 : x
  2. Step 2: Convert to fraction form
    446.49/669.83 = 172.71/x
  3. Step 3: Cross multiply
    446.49x = 669.83 × 172.71
  4. Step 4: Simplify right side
    446.49x = 115,686.34
  5. Step 5: Solve for x
    x = 115,686.34/446.49
  6. Step 6: Final answer
    x = 259.10

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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.