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Finding the Fourth Proportional to 585.77, 808.37 and 323.78

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Solution

The fourth proportional to 585.77, 808.37 and 323.78 is: 446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.77 : 808.37 = 323.78 : x
  2. Step 2: Convert to fraction form
    585.77/808.37 = 323.78/x
  3. Step 3: Cross multiply
    585.77x = 808.37 × 323.78
  4. Step 4: Simplify right side
    585.77x = 261,730.81
  5. Step 5: Solve for x
    x = 261,730.81/585.77
  6. Step 6: Final answer
    x = 446.82

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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.