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Finding the Fourth Proportional to 362.74, 500.37 and 224.50

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Solution

The fourth proportional to 362.74, 500.37 and 224.50 is: 309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.74 : 500.37 = 224.50 : x
  2. Step 2: Convert to fraction form
    362.74/500.37 = 224.50/x
  3. Step 3: Cross multiply
    362.74x = 500.37 × 224.50
  4. Step 4: Simplify right side
    362.74x = 112,333.07
  5. Step 5: Solve for x
    x = 112,333.07/362.74
  6. Step 6: Final answer
    x = 309.68

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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.