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Finding the Fourth Proportional to 643.70, 965.54 and 259.22

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Solution

The fourth proportional to 643.70, 965.54 and 259.22 is: 388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.70 : 965.54 = 259.22 : x
  2. Step 2: Convert to fraction form
    643.70/965.54 = 259.22/x
  3. Step 3: Cross multiply
    643.70x = 965.54 × 259.22
  4. Step 4: Simplify right side
    643.70x = 250,281.80
  5. Step 5: Solve for x
    x = 250,281.80/643.70
  6. Step 6: Final answer
    x = 388.82

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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.