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Finding the Fourth Proportional to 583.11, 803.61 and 396.62

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Solution

The fourth proportional to 583.11, 803.61 and 396.62 is: 546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.11 : 803.61 = 396.62 : x
  2. Step 2: Convert to fraction form
    583.11/803.61 = 396.62/x
  3. Step 3: Cross multiply
    583.11x = 803.61 × 396.62
  4. Step 4: Simplify right side
    583.11x = 318,723.78
  5. Step 5: Solve for x
    x = 318,723.78/583.11
  6. Step 6: Final answer
    x = 546.59

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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.