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Finding the Fourth Proportional to 583.62, 806.02 and 579.58

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Solution

The fourth proportional to 583.62, 806.02 and 579.58 is: 800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.62 : 806.02 = 579.58 : x
  2. Step 2: Convert to fraction form
    583.62/806.02 = 579.58/x
  3. Step 3: Cross multiply
    583.62x = 806.02 × 579.58
  4. Step 4: Simplify right side
    583.62x = 467,153.07
  5. Step 5: Solve for x
    x = 467,153.07/583.62
  6. Step 6: Final answer
    x = 800.44

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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.