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Finding the Fourth Proportional to 644.90, 967.68 and 385.02

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Solution

The fourth proportional to 644.90, 967.68 and 385.02 is: 577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.90 : 967.68 = 385.02 : x
  2. Step 2: Convert to fraction form
    644.90/967.68 = 385.02/x
  3. Step 3: Cross multiply
    644.90x = 967.68 × 385.02
  4. Step 4: Simplify right side
    644.90x = 372,576.15
  5. Step 5: Solve for x
    x = 372,576.15/644.90
  6. Step 6: Final answer
    x = 577.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.