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Finding the Fourth Proportional to 468, 644.94 and 336.78

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Solution

The fourth proportional to 468, 644.94 and 336.78 is: 464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468 : 644.94 = 336.78 : x
  2. Step 2: Convert to fraction form
    468/644.94 = 336.78/x
  3. Step 3: Cross multiply
    468x = 644.94 × 336.78
  4. Step 4: Simplify right side
    468x = 217,202.89
  5. Step 5: Solve for x
    x = 217,202.89/468
  6. Step 6: Final answer
    x = 464.11

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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.