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Finding the Fourth Proportional to 644.70, 965.43 and 355.53

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Solution

The fourth proportional to 644.70, 965.43 and 355.53 is: 532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.70 : 965.43 = 355.53 : x
  2. Step 2: Convert to fraction form
    644.70/965.43 = 355.53/x
  3. Step 3: Cross multiply
    644.70x = 965.43 × 355.53
  4. Step 4: Simplify right side
    644.70x = 343,239.33
  5. Step 5: Solve for x
    x = 343,239.33/644.70
  6. Step 6: Final answer
    x = 532.40

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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.