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Finding the Fourth Proportional to 466.97, 644.48 and 301.67

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Solution

The fourth proportional to 466.97, 644.48 and 301.67 is: 416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.97 : 644.48 = 301.67 : x
  2. Step 2: Convert to fraction form
    466.97/644.48 = 301.67/x
  3. Step 3: Cross multiply
    466.97x = 644.48 × 301.67
  4. Step 4: Simplify right side
    466.97x = 194,415.55
  5. Step 5: Solve for x
    x = 194,415.55/466.97
  6. Step 6: Final answer
    x = 416.33

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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.