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Finding the Fourth Proportional to 585.06, 806.07 and 427.42

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Solution

The fourth proportional to 585.06, 806.07 and 427.42 is: 588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.06 : 806.07 = 427.42 : x
  2. Step 2: Convert to fraction form
    585.06/806.07 = 427.42/x
  3. Step 3: Cross multiply
    585.06x = 806.07 × 427.42
  4. Step 4: Simplify right side
    585.06x = 344,530.44
  5. Step 5: Solve for x
    x = 344,530.44/585.06
  6. Step 6: Final answer
    x = 588.88

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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.