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Finding the Fourth Proportional to 446.69, 670.11 and 172.82

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Solution

The fourth proportional to 446.69, 670.11 and 172.82 is: 259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.69 : 670.11 = 172.82 : x
  2. Step 2: Convert to fraction form
    446.69/670.11 = 172.82/x
  3. Step 3: Cross multiply
    446.69x = 670.11 × 172.82
  4. Step 4: Simplify right side
    446.69x = 115,808.41
  5. Step 5: Solve for x
    x = 115,808.41/446.69
  6. Step 6: Final answer
    x = 259.26

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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.