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Finding the Fourth Proportional to 322.70, 445.47 and 311.16

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Solution

The fourth proportional to 322.70, 445.47 and 311.16 is: 429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.70 : 445.47 = 311.16 : x
  2. Step 2: Convert to fraction form
    322.70/445.47 = 311.16/x
  3. Step 3: Cross multiply
    322.70x = 445.47 × 311.16
  4. Step 4: Simplify right side
    322.70x = 138,612.45
  5. Step 5: Solve for x
    x = 138,612.45/322.70
  6. Step 6: Final answer
    x = 429.54

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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.