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Finding the Fourth Proportional to 333.52, 460.24 and 223.20

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Solution

The fourth proportional to 333.52, 460.24 and 223.20 is: 308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.52 : 460.24 = 223.20 : x
  2. Step 2: Convert to fraction form
    333.52/460.24 = 223.20/x
  3. Step 3: Cross multiply
    333.52x = 460.24 × 223.20
  4. Step 4: Simplify right side
    333.52x = 102,725.01
  5. Step 5: Solve for x
    x = 102,725.01/333.52
  6. Step 6: Final answer
    x = 308.00

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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.