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Finding the Fourth Proportional to 333.06, 498.78 and 224.52

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Solution

The fourth proportional to 333.06, 498.78 and 224.52 is: 336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.06 : 498.78 = 224.52 : x
  2. Step 2: Convert to fraction form
    333.06/498.78 = 224.52/x
  3. Step 3: Cross multiply
    333.06x = 498.78 × 224.52
  4. Step 4: Simplify right side
    333.06x = 111,986.09
  5. Step 5: Solve for x
    x = 111,986.09/333.06
  6. Step 6: Final answer
    x = 336.23

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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.