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Finding the Fourth Proportional to 585.88, 808.52 and 323.92

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Solution

The fourth proportional to 585.88, 808.52 and 323.92 is: 447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.88 : 808.52 = 323.92 : x
  2. Step 2: Convert to fraction form
    585.88/808.52 = 323.92/x
  3. Step 3: Cross multiply
    585.88x = 808.52 × 323.92
  4. Step 4: Simplify right side
    585.88x = 261,895.80
  5. Step 5: Solve for x
    x = 261,895.80/585.88
  6. Step 6: Final answer
    x = 447.01

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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.