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Finding the Fourth Proportional to 585.52, 806.87 and 419.27

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Solution

The fourth proportional to 585.52, 806.87 and 419.27 is: 577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.52 : 806.87 = 419.27 : x
  2. Step 2: Convert to fraction form
    585.52/806.87 = 419.27/x
  3. Step 3: Cross multiply
    585.52x = 806.87 × 419.27
  4. Step 4: Simplify right side
    585.52x = 338,294.29
  5. Step 5: Solve for x
    x = 338,294.29/585.52
  6. Step 6: Final answer
    x = 577.77

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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.