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Finding the Fourth Proportional to 544.07, 816.86 and 284.27

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Solution

The fourth proportional to 544.07, 816.86 and 284.27 is: 426.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.07 : 816.86 = 284.27 : x
  2. Step 2: Convert to fraction form
    544.07/816.86 = 284.27/x
  3. Step 3: Cross multiply
    544.07x = 816.86 × 284.27
  4. Step 4: Simplify right side
    544.07x = 232,205.42
  5. Step 5: Solve for x
    x = 232,205.42/544.07
  6. Step 6: Final answer
    x = 426.79

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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.