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Finding the Fourth Proportional to 602.15, 825.27 and 583.62

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Solution

The fourth proportional to 602.15, 825.27 and 583.62 is: 799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.15 : 825.27 = 583.62 : x
  2. Step 2: Convert to fraction form
    602.15/825.27 = 583.62/x
  3. Step 3: Cross multiply
    602.15x = 825.27 × 583.62
  4. Step 4: Simplify right side
    602.15x = 481,644.08
  5. Step 5: Solve for x
    x = 481,644.08/602.15
  6. Step 6: Final answer
    x = 799.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.