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Finding the Fourth Proportional to 583.97, 805.82 and 351.09

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Solution

The fourth proportional to 583.97, 805.82 and 351.09 is: 484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.97 : 805.82 = 351.09 : x
  2. Step 2: Convert to fraction form
    583.97/805.82 = 351.09/x
  3. Step 3: Cross multiply
    583.97x = 805.82 × 351.09
  4. Step 4: Simplify right side
    583.97x = 282,913.59
  5. Step 5: Solve for x
    x = 282,913.59/583.97
  6. Step 6: Final answer
    x = 484.47

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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.