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Finding the Fourth Proportional to 445.22, 667.82 and 292.11

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Solution

The fourth proportional to 445.22, 667.82 and 292.11 is: 438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.22 : 667.82 = 292.11 : x
  2. Step 2: Convert to fraction form
    445.22/667.82 = 292.11/x
  3. Step 3: Cross multiply
    445.22x = 667.82 × 292.11
  4. Step 4: Simplify right side
    445.22x = 195,077.63
  5. Step 5: Solve for x
    x = 195,077.63/445.22
  6. Step 6: Final answer
    x = 438.17

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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.