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Finding the Fourth Proportional to 436.58, 654.87 and 254.33

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Solution

The fourth proportional to 436.58, 654.87 and 254.33 is: 381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.58 : 654.87 = 254.33 : x
  2. Step 2: Convert to fraction form
    436.58/654.87 = 254.33/x
  3. Step 3: Cross multiply
    436.58x = 654.87 × 254.33
  4. Step 4: Simplify right side
    436.58x = 166,553.09
  5. Step 5: Solve for x
    x = 166,553.09/436.58
  6. Step 6: Final answer
    x = 381.50

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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.