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Finding the Fourth Proportional to 643.02, 964.47 and 180.84

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Solution

The fourth proportional to 643.02, 964.47 and 180.84 is: 271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.02 : 964.47 = 180.84 : x
  2. Step 2: Convert to fraction form
    643.02/964.47 = 180.84/x
  3. Step 3: Cross multiply
    643.02x = 964.47 × 180.84
  4. Step 4: Simplify right side
    643.02x = 174,414.75
  5. Step 5: Solve for x
    x = 174,414.75/643.02
  6. Step 6: Final answer
    x = 271.24

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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.