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Finding the Fourth Proportional to 644.02, 965.89 and 384.10

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Solution

The fourth proportional to 644.02, 965.89 and 384.10 is: 576.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.02 : 965.89 = 384.10 : x
  2. Step 2: Convert to fraction form
    644.02/965.89 = 384.10/x
  3. Step 3: Cross multiply
    644.02x = 965.89 × 384.10
  4. Step 4: Simplify right side
    644.02x = 370,996.24
  5. Step 5: Solve for x
    x = 370,996.24/644.02
  6. Step 6: Final answer
    x = 576.06

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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.