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Finding the Fourth Proportional to 642.64, 964.01 and 180.42

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Solution

The fourth proportional to 642.64, 964.01 and 180.42 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.64 : 964.01 = 180.42 : x
  2. Step 2: Convert to fraction form
    642.64/964.01 = 180.42/x
  3. Step 3: Cross multiply
    642.64x = 964.01 × 180.42
  4. Step 4: Simplify right side
    642.64x = 173,926.68
  5. Step 5: Solve for x
    x = 173,926.68/642.64
  6. Step 6: Final answer
    x = 270.64

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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.