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Finding the Fourth Proportional to 362.94, 500.82 and 205.58

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Solution

The fourth proportional to 362.94, 500.82 and 205.58 is: 283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.94 : 500.82 = 205.58 : x
  2. Step 2: Convert to fraction form
    362.94/500.82 = 205.58/x
  3. Step 3: Cross multiply
    362.94x = 500.82 × 205.58
  4. Step 4: Simplify right side
    362.94x = 102,956.07
  5. Step 5: Solve for x
    x = 102,956.07/362.94
  6. Step 6: Final answer
    x = 283.67

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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.