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Finding the Fourth Proportional to 335.23, 503.08 and 254.23

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Solution

The fourth proportional to 335.23, 503.08 and 254.23 is: 381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.23 : 503.08 = 254.23 : x
  2. Step 2: Convert to fraction form
    335.23/503.08 = 254.23/x
  3. Step 3: Cross multiply
    335.23x = 503.08 × 254.23
  4. Step 4: Simplify right side
    335.23x = 127,896.14
  5. Step 5: Solve for x
    x = 127,896.14/335.23
  6. Step 6: Final answer
    x = 381.52

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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.