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Finding the Fourth Proportional to 523.44, 788.58 and 396

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Solution

The fourth proportional to 523.44, 788.58 and 396 is: 596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.44 : 788.58 = 396 : x
  2. Step 2: Convert to fraction form
    523.44/788.58 = 396/x
  3. Step 3: Cross multiply
    523.44x = 788.58 × 396
  4. Step 4: Simplify right side
    523.44x = 312,277.68
  5. Step 5: Solve for x
    x = 312,277.68/523.44
  6. Step 6: Final answer
    x = 596.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.