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Finding the Fourth Proportional to 643.66, 965.41 and 253.57

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Solution

The fourth proportional to 643.66, 965.41 and 253.57 is: 380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.66 : 965.41 = 253.57 : x
  2. Step 2: Convert to fraction form
    643.66/965.41 = 253.57/x
  3. Step 3: Cross multiply
    643.66x = 965.41 × 253.57
  4. Step 4: Simplify right side
    643.66x = 244,799.01
  5. Step 5: Solve for x
    x = 244,799.01/643.66
  6. Step 6: Final answer
    x = 380.32

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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.