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Finding the Fourth Proportional to 585.94, 808.62 and 330.44

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Solution

The fourth proportional to 585.94, 808.62 and 330.44 is: 456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.94 : 808.62 = 330.44 : x
  2. Step 2: Convert to fraction form
    585.94/808.62 = 330.44/x
  3. Step 3: Cross multiply
    585.94x = 808.62 × 330.44
  4. Step 4: Simplify right side
    585.94x = 267,200.39
  5. Step 5: Solve for x
    x = 267,200.39/585.94
  6. Step 6: Final answer
    x = 456.02

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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.