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Finding the Fourth Proportional to 523.95, 785.13 and 215.73

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Solution

The fourth proportional to 523.95, 785.13 and 215.73 is: 323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.95 : 785.13 = 215.73 : x
  2. Step 2: Convert to fraction form
    523.95/785.13 = 215.73/x
  3. Step 3: Cross multiply
    523.95x = 785.13 × 215.73
  4. Step 4: Simplify right side
    523.95x = 169,376.09
  5. Step 5: Solve for x
    x = 169,376.09/523.95
  6. Step 6: Final answer
    x = 323.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.