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Finding the Fourth Proportional to 643.23, 964.26 and 232.27

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Solution

The fourth proportional to 643.23, 964.26 and 232.27 is: 348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.23 : 964.26 = 232.27 : x
  2. Step 2: Convert to fraction form
    643.23/964.26 = 232.27/x
  3. Step 3: Cross multiply
    643.23x = 964.26 × 232.27
  4. Step 4: Simplify right side
    643.23x = 223,968.67
  5. Step 5: Solve for x
    x = 223,968.67/643.23
  6. Step 6: Final answer
    x = 348.19

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Double scale
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Similar ratio
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1.5x scale

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.