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Finding the Fourth Proportional to 323.07, 484.17 and 207.46

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Solution

The fourth proportional to 323.07, 484.17 and 207.46 is: 310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.07 : 484.17 = 207.46 : x
  2. Step 2: Convert to fraction form
    323.07/484.17 = 207.46/x
  3. Step 3: Cross multiply
    323.07x = 484.17 × 207.46
  4. Step 4: Simplify right side
    323.07x = 100,442.45
  5. Step 5: Solve for x
    x = 100,442.45/323.07
  6. Step 6: Final answer
    x = 310.90

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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.