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Finding the Fourth Proportional to 585.60, 808.14 and 323.64

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Solution

The fourth proportional to 585.60, 808.14 and 323.64 is: 446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.60 : 808.14 = 323.64 : x
  2. Step 2: Convert to fraction form
    585.60/808.14 = 323.64/x
  3. Step 3: Cross multiply
    585.60x = 808.14 × 323.64
  4. Step 4: Simplify right side
    585.60x = 261,546.43
  5. Step 5: Solve for x
    x = 261,546.43/585.60
  6. Step 6: Final answer
    x = 446.63

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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.