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Finding the Fourth Proportional to 523.24, 785.99 and 340.54

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Solution

The fourth proportional to 523.24, 785.99 and 340.54 is: 511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.24 : 785.99 = 340.54 : x
  2. Step 2: Convert to fraction form
    523.24/785.99 = 340.54/x
  3. Step 3: Cross multiply
    523.24x = 785.99 × 340.54
  4. Step 4: Simplify right side
    523.24x = 267,661.03
  5. Step 5: Solve for x
    x = 267,661.03/523.24
  6. Step 6: Final answer
    x = 511.55

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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.