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Finding the Fourth Proportional to 644.88, 967.71 and 413.94

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Solution

The fourth proportional to 644.88, 967.71 and 413.94 is: 621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.88 : 967.71 = 413.94 : x
  2. Step 2: Convert to fraction form
    644.88/967.71 = 413.94/x
  3. Step 3: Cross multiply
    644.88x = 967.71 × 413.94
  4. Step 4: Simplify right side
    644.88x = 400,573.88
  5. Step 5: Solve for x
    x = 400,573.88/644.88
  6. Step 6: Final answer
    x = 621.16

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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.