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Finding the Fourth Proportional to 466.14, 644.67 and 414.54

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Solution

The fourth proportional to 466.14, 644.67 and 414.54 is: 573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.14 : 644.67 = 414.54 : x
  2. Step 2: Convert to fraction form
    466.14/644.67 = 414.54/x
  3. Step 3: Cross multiply
    466.14x = 644.67 × 414.54
  4. Step 4: Simplify right side
    466.14x = 267,241.50
  5. Step 5: Solve for x
    x = 267,241.50/466.14
  6. Step 6: Final answer
    x = 573.31

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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.