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Finding the Fourth Proportional to 642.44, 965.51 and 427.38

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Solution

The fourth proportional to 642.44, 965.51 and 427.38 is: 642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.44 : 965.51 = 427.38 : x
  2. Step 2: Convert to fraction form
    642.44/965.51 = 427.38/x
  3. Step 3: Cross multiply
    642.44x = 965.51 × 427.38
  4. Step 4: Simplify right side
    642.44x = 412,637.53
  5. Step 5: Solve for x
    x = 412,637.53/642.44
  6. Step 6: Final answer
    x = 642.30

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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.