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Finding the Fourth Proportional to 362.49, 544.02 and 208.71

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Solution

The fourth proportional to 362.49, 544.02 and 208.71 is: 313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.49 : 544.02 = 208.71 : x
  2. Step 2: Convert to fraction form
    362.49/544.02 = 208.71/x
  3. Step 3: Cross multiply
    362.49x = 544.02 × 208.71
  4. Step 4: Simplify right side
    362.49x = 113,542.41
  5. Step 5: Solve for x
    x = 113,542.41/362.49
  6. Step 6: Final answer
    x = 313.23

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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.