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Finding the Fourth Proportional to 362.24, 499.79 and 212.84

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Solution

The fourth proportional to 362.24, 499.79 and 212.84 is: 293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.24 : 499.79 = 212.84 : x
  2. Step 2: Convert to fraction form
    362.24/499.79 = 212.84/x
  3. Step 3: Cross multiply
    362.24x = 499.79 × 212.84
  4. Step 4: Simplify right side
    362.24x = 106,373.34
  5. Step 5: Solve for x
    x = 106,373.34/362.24
  6. Step 6: Final answer
    x = 293.66

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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.