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Finding the Fourth Proportional to 466.75, 644.52 and 350.92

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Solution

The fourth proportional to 466.75, 644.52 and 350.92 is: 484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.75 : 644.52 = 350.92 : x
  2. Step 2: Convert to fraction form
    466.75/644.52 = 350.92/x
  3. Step 3: Cross multiply
    466.75x = 644.52 × 350.92
  4. Step 4: Simplify right side
    466.75x = 226,174.96
  5. Step 5: Solve for x
    x = 226,174.96/466.75
  6. Step 6: Final answer
    x = 484.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.