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Finding the Fourth Proportional to 643.67, 964.16 and 334.61

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Solution

The fourth proportional to 643.67, 964.16 and 334.61 is: 501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.67 : 964.16 = 334.61 : x
  2. Step 2: Convert to fraction form
    643.67/964.16 = 334.61/x
  3. Step 3: Cross multiply
    643.67x = 964.16 × 334.61
  4. Step 4: Simplify right side
    643.67x = 322,615.90
  5. Step 5: Solve for x
    x = 322,615.90/643.67
  6. Step 6: Final answer
    x = 501.21

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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.