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Finding the Fourth Proportional to 644.36, 966.23 and 413.35

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Solution

The fourth proportional to 644.36, 966.23 and 413.35 is: 619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.36 : 966.23 = 413.35 : x
  2. Step 2: Convert to fraction form
    644.36/966.23 = 413.35/x
  3. Step 3: Cross multiply
    644.36x = 966.23 × 413.35
  4. Step 4: Simplify right side
    644.36x = 399,393.67
  5. Step 5: Solve for x
    x = 399,393.67/644.36
  6. Step 6: Final answer
    x = 619.83

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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.