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Finding the Fourth Proportional to 322.34, 445.31 and 304.11

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Solution

The fourth proportional to 322.34, 445.31 and 304.11 is: 420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.34 : 445.31 = 304.11 : x
  2. Step 2: Convert to fraction form
    322.34/445.31 = 304.11/x
  3. Step 3: Cross multiply
    322.34x = 445.31 × 304.11
  4. Step 4: Simplify right side
    322.34x = 135,423.22
  5. Step 5: Solve for x
    x = 135,423.22/322.34
  6. Step 6: Final answer
    x = 420.13

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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.