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Finding the Fourth Proportional to 544.14, 814.68 and 283.57

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Solution

The fourth proportional to 544.14, 814.68 and 283.57 is: 424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.14 : 814.68 = 283.57 : x
  2. Step 2: Convert to fraction form
    544.14/814.68 = 283.57/x
  3. Step 3: Cross multiply
    544.14x = 814.68 × 283.57
  4. Step 4: Simplify right side
    544.14x = 231,014.73
  5. Step 5: Solve for x
    x = 231,014.73/544.14
  6. Step 6: Final answer
    x = 424.55

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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.