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Finding the Fourth Proportional to 644.12, 888.89 and 378.50

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Solution

The fourth proportional to 644.12, 888.89 and 378.50 is: 522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.12 : 888.89 = 378.50 : x
  2. Step 2: Convert to fraction form
    644.12/888.89 = 378.50/x
  3. Step 3: Cross multiply
    644.12x = 888.89 × 378.50
  4. Step 4: Simplify right side
    644.12x = 336,445.19
  5. Step 5: Solve for x
    x = 336,445.19/644.12
  6. Step 6: Final answer
    x = 522.34

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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.