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Finding the Fourth Proportional to 645.34, 966.08 and 413.68

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Solution

The fourth proportional to 645.34, 966.08 and 413.68 is: 619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.34 : 966.08 = 413.68 : x
  2. Step 2: Convert to fraction form
    645.34/966.08 = 413.68/x
  3. Step 3: Cross multiply
    645.34x = 966.08 × 413.68
  4. Step 4: Simplify right side
    645.34x = 399,647.97
  5. Step 5: Solve for x
    x = 399,647.97/645.34
  6. Step 6: Final answer
    x = 619.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.