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Finding the Fourth Proportional to 445.69, 668.06 and 171.71

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Solution

The fourth proportional to 445.69, 668.06 and 171.71 is: 257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.69 : 668.06 = 171.71 : x
  2. Step 2: Convert to fraction form
    445.69/668.06 = 171.71/x
  3. Step 3: Cross multiply
    445.69x = 668.06 × 171.71
  4. Step 4: Simplify right side
    445.69x = 114,712.58
  5. Step 5: Solve for x
    x = 114,712.58/445.69
  6. Step 6: Final answer
    x = 257.38

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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.