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Finding the Fourth Proportional to 643.26, 964.98 and 210.33

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Solution

The fourth proportional to 643.26, 964.98 and 210.33 is: 315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.26 : 964.98 = 210.33 : x
  2. Step 2: Convert to fraction form
    643.26/964.98 = 210.33/x
  3. Step 3: Cross multiply
    643.26x = 964.98 × 210.33
  4. Step 4: Simplify right side
    643.26x = 202,964.24
  5. Step 5: Solve for x
    x = 202,964.24/643.26
  6. Step 6: Final answer
    x = 315.52

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Double scale
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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.