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Finding the Fourth Proportional to 332.74, 499.23 and 224.50

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Solution

The fourth proportional to 332.74, 499.23 and 224.50 is: 336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.74 : 499.23 = 224.50 : x
  2. Step 2: Convert to fraction form
    332.74/499.23 = 224.50/x
  3. Step 3: Cross multiply
    332.74x = 499.23 × 224.50
  4. Step 4: Simplify right side
    332.74x = 112,077.14
  5. Step 5: Solve for x
    x = 112,077.14/332.74
  6. Step 6: Final answer
    x = 336.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.