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Finding the Fourth Proportional to 362.84, 500.71 and 205.47

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Solution

The fourth proportional to 362.84, 500.71 and 205.47 is: 283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.84 : 500.71 = 205.47 : x
  2. Step 2: Convert to fraction form
    362.84/500.71 = 205.47/x
  3. Step 3: Cross multiply
    362.84x = 500.71 × 205.47
  4. Step 4: Simplify right side
    362.84x = 102,880.37
  5. Step 5: Solve for x
    x = 102,880.37/362.84
  6. Step 6: Final answer
    x = 283.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.