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Finding the Fourth Proportional to 643.53, 964.93 and 369.69

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Solution

The fourth proportional to 643.53, 964.93 and 369.69 is: 554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.53 : 964.93 = 369.69 : x
  2. Step 2: Convert to fraction form
    643.53/964.93 = 369.69/x
  3. Step 3: Cross multiply
    643.53x = 964.93 × 369.69
  4. Step 4: Simplify right side
    643.53x = 356,724.97
  5. Step 5: Solve for x
    x = 356,724.97/643.53
  6. Step 6: Final answer
    x = 554.33

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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.