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Finding the Fourth Proportional to 304.64, 455.97 and 223.46

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Solution

The fourth proportional to 304.64, 455.97 and 223.46 is: 334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.64 : 455.97 = 223.46 : x
  2. Step 2: Convert to fraction form
    304.64/455.97 = 223.46/x
  3. Step 3: Cross multiply
    304.64x = 455.97 × 223.46
  4. Step 4: Simplify right side
    304.64x = 101,891.06
  5. Step 5: Solve for x
    x = 101,891.06/304.64
  6. Step 6: Final answer
    x = 334.46

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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.