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Finding the Fourth Proportional to 643.70, 964.28 and 393.14

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Solution

The fourth proportional to 643.70, 964.28 and 393.14 is: 588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.70 : 964.28 = 393.14 : x
  2. Step 2: Convert to fraction form
    643.70/964.28 = 393.14/x
  3. Step 3: Cross multiply
    643.70x = 964.28 × 393.14
  4. Step 4: Simplify right side
    643.70x = 379,097.04
  5. Step 5: Solve for x
    x = 379,097.04/643.70
  6. Step 6: Final answer
    x = 588.93

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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.