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Finding the Fourth Proportional to 466.78, 644.58 and 301.28

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Solution

The fourth proportional to 466.78, 644.58 and 301.28 is: 416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.78 : 644.58 = 301.28 : x
  2. Step 2: Convert to fraction form
    466.78/644.58 = 301.28/x
  3. Step 3: Cross multiply
    466.78x = 644.58 × 301.28
  4. Step 4: Simplify right side
    466.78x = 194,195.84
  5. Step 5: Solve for x
    x = 194,195.84/466.78
  6. Step 6: Final answer
    x = 416.04

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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.