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Finding the Fourth Proportional to 585.46, 807.97 and 323.48

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Solution

The fourth proportional to 585.46, 807.97 and 323.48 is: 446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.46 : 807.97 = 323.48 : x
  2. Step 2: Convert to fraction form
    585.46/807.97 = 323.48/x
  3. Step 3: Cross multiply
    585.46x = 807.97 × 323.48
  4. Step 4: Simplify right side
    585.46x = 261,362.14
  5. Step 5: Solve for x
    x = 261,362.14/585.46
  6. Step 6: Final answer
    x = 446.42

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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.