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Finding the Fourth Proportional to 643.98, 965.38 and 233.02

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Solution

The fourth proportional to 643.98, 965.38 and 233.02 is: 349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.98 : 965.38 = 233.02 : x
  2. Step 2: Convert to fraction form
    643.98/965.38 = 233.02/x
  3. Step 3: Cross multiply
    643.98x = 965.38 × 233.02
  4. Step 4: Simplify right side
    643.98x = 224,952.85
  5. Step 5: Solve for x
    x = 224,952.85/643.98
  6. Step 6: Final answer
    x = 349.32

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Double scale
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Similar ratio
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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.