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Finding the Fourth Proportional to 544.82, 817.83 and 339.48

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Solution

The fourth proportional to 544.82, 817.83 and 339.48 is: 509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.82 : 817.83 = 339.48 : x
  2. Step 2: Convert to fraction form
    544.82/817.83 = 339.48/x
  3. Step 3: Cross multiply
    544.82x = 817.83 × 339.48
  4. Step 4: Simplify right side
    544.82x = 277,636.93
  5. Step 5: Solve for x
    x = 277,636.93/544.82
  6. Step 6: Final answer
    x = 509.60

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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.