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Finding the Fourth Proportional to 644.88, 964.92 and 385.02

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Solution

The fourth proportional to 644.88, 964.92 and 385.02 is: 576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.88 : 964.92 = 385.02 : x
  2. Step 2: Convert to fraction form
    644.88/964.92 = 385.02/x
  3. Step 3: Cross multiply
    644.88x = 964.92 × 385.02
  4. Step 4: Simplify right side
    644.88x = 371,513.50
  5. Step 5: Solve for x
    x = 371,513.50/644.88
  6. Step 6: Final answer
    x = 576.10

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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.