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Finding the Fourth Proportional to 362.34, 500.24 and 274.86

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Solution

The fourth proportional to 362.34, 500.24 and 274.86 is: 379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.34 : 500.24 = 274.86 : x
  2. Step 2: Convert to fraction form
    362.34/500.24 = 274.86/x
  3. Step 3: Cross multiply
    362.34x = 500.24 × 274.86
  4. Step 4: Simplify right side
    362.34x = 137,495.97
  5. Step 5: Solve for x
    x = 137,495.97/362.34
  6. Step 6: Final answer
    x = 379.47

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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.