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Finding the Fourth Proportional to 644.90, 967.71 and 352.39

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Solution

The fourth proportional to 644.90, 967.71 and 352.39 is: 528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.90 : 967.71 = 352.39 : x
  2. Step 2: Convert to fraction form
    644.90/967.71 = 352.39/x
  3. Step 3: Cross multiply
    644.90x = 967.71 × 352.39
  4. Step 4: Simplify right side
    644.90x = 341,009.56
  5. Step 5: Solve for x
    x = 341,009.56/644.90
  6. Step 6: Final answer
    x = 528.78

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