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Finding the Fourth Proportional to 643.32, 964.78 and 210.38

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Solution

The fourth proportional to 643.32, 964.78 and 210.38 is: 315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.32 : 964.78 = 210.38 : x
  2. Step 2: Convert to fraction form
    643.32/964.78 = 210.38/x
  3. Step 3: Cross multiply
    643.32x = 964.78 × 210.38
  4. Step 4: Simplify right side
    643.32x = 202,965.07
  5. Step 5: Solve for x
    x = 202,965.07/643.32
  6. Step 6: Final answer
    x = 315.50

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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.