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Finding the Fourth Proportional to 466.91, 644.32 and 301.29

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Solution

The fourth proportional to 466.91, 644.32 and 301.29 is: 415.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.91 : 644.32 = 301.29 : x
  2. Step 2: Convert to fraction form
    466.91/644.32 = 301.29/x
  3. Step 3: Cross multiply
    466.91x = 644.32 × 301.29
  4. Step 4: Simplify right side
    466.91x = 194,126.42
  5. Step 5: Solve for x
    x = 194,126.42/466.91
  6. Step 6: Final answer
    x = 415.77

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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.