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Finding the Fourth Proportional to 535.82, 803.14 and 254.54

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Solution

The fourth proportional to 535.82, 803.14 and 254.54 is: 381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.82 : 803.14 = 254.54 : x
  2. Step 2: Convert to fraction form
    535.82/803.14 = 254.54/x
  3. Step 3: Cross multiply
    535.82x = 803.14 × 254.54
  4. Step 4: Simplify right side
    535.82x = 204,431.26
  5. Step 5: Solve for x
    x = 204,431.26/535.82
  6. Step 6: Final answer
    x = 381.53

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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.