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Finding the Fourth Proportional to 304.41, 456.68 and 221.42

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Solution

The fourth proportional to 304.41, 456.68 and 221.42 is: 332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.41 : 456.68 = 221.42 : x
  2. Step 2: Convert to fraction form
    304.41/456.68 = 221.42/x
  3. Step 3: Cross multiply
    304.41x = 456.68 × 221.42
  4. Step 4: Simplify right side
    304.41x = 101,114.70
  5. Step 5: Solve for x
    x = 101,114.70/304.41
  6. Step 6: Final answer
    x = 332.17

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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.