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Finding the Fourth Proportional to 585.93, 808.58 and 323.95

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Solution

The fourth proportional to 585.93, 808.58 and 323.95 is: 447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.93 : 808.58 = 323.95 : x
  2. Step 2: Convert to fraction form
    585.93/808.58 = 323.95/x
  3. Step 3: Cross multiply
    585.93x = 808.58 × 323.95
  4. Step 4: Simplify right side
    585.93x = 261,939.49
  5. Step 5: Solve for x
    x = 261,939.49/585.93
  6. Step 6: Final answer
    x = 447.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.