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Finding the Fourth Proportional to 362.84, 500.76 and 205.52

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Solution

The fourth proportional to 362.84, 500.76 and 205.52 is: 283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.84 : 500.76 = 205.52 : x
  2. Step 2: Convert to fraction form
    362.84/500.76 = 205.52/x
  3. Step 3: Cross multiply
    362.84x = 500.76 × 205.52
  4. Step 4: Simplify right side
    362.84x = 102,916.20
  5. Step 5: Solve for x
    x = 102,916.20/362.84
  6. Step 6: Final answer
    x = 283.64

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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.