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Finding the Fourth Proportional to 641.98, 963.01 and 219.65

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Solution

The fourth proportional to 641.98, 963.01 and 219.65 is: 329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.98 : 963.01 = 219.65 : x
  2. Step 2: Convert to fraction form
    641.98/963.01 = 219.65/x
  3. Step 3: Cross multiply
    641.98x = 963.01 × 219.65
  4. Step 4: Simplify right side
    641.98x = 211,525.15
  5. Step 5: Solve for x
    x = 211,525.15/641.98
  6. Step 6: Final answer
    x = 329.49

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Half scale
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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.