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Finding the Fourth Proportional to 465.54, 639.56 and 382.38

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Solution

The fourth proportional to 465.54, 639.56 and 382.38 is: 525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.54 : 639.56 = 382.38 : x
  2. Step 2: Convert to fraction form
    465.54/639.56 = 382.38/x
  3. Step 3: Cross multiply
    465.54x = 639.56 × 382.38
  4. Step 4: Simplify right side
    465.54x = 244,553.04
  5. Step 5: Solve for x
    x = 244,553.04/465.54
  6. Step 6: Final answer
    x = 525.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.