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Finding the Fourth Proportional to 585.49, 807.97 and 323.50

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Solution

The fourth proportional to 585.49, 807.97 and 323.50 is: 446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.49 : 807.97 = 323.50 : x
  2. Step 2: Convert to fraction form
    585.49/807.97 = 323.50/x
  3. Step 3: Cross multiply
    585.49x = 807.97 × 323.50
  4. Step 4: Simplify right side
    585.49x = 261,376.68
  5. Step 5: Solve for x
    x = 261,376.68/585.49
  6. Step 6: Final answer
    x = 446.43

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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.