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Finding the Fourth Proportional to 645.60, 967.74 and 413.82

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Solution

The fourth proportional to 645.60, 967.74 and 413.82 is: 620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.60 : 967.74 = 413.82 : x
  2. Step 2: Convert to fraction form
    645.60/967.74 = 413.82/x
  3. Step 3: Cross multiply
    645.60x = 967.74 × 413.82
  4. Step 4: Simplify right side
    645.60x = 400,470.17
  5. Step 5: Solve for x
    x = 400,470.17/645.60
  6. Step 6: Final answer
    x = 620.31

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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.