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Finding the Fourth Proportional to 585.94, 808.57 and 323.94

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Solution

The fourth proportional to 585.94, 808.57 and 323.94 is: 447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.94 : 808.57 = 323.94 : x
  2. Step 2: Convert to fraction form
    585.94/808.57 = 323.94/x
  3. Step 3: Cross multiply
    585.94x = 808.57 × 323.94
  4. Step 4: Simplify right side
    585.94x = 261,926.55
  5. Step 5: Solve for x
    x = 261,926.55/585.94
  6. Step 6: Final answer
    x = 447.02

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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.