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Finding the Fourth Proportional to 523.96, 786.06 and 235.24

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Solution

The fourth proportional to 523.96, 786.06 and 235.24 is: 352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.96 : 786.06 = 235.24 : x
  2. Step 2: Convert to fraction form
    523.96/786.06 = 235.24/x
  3. Step 3: Cross multiply
    523.96x = 786.06 × 235.24
  4. Step 4: Simplify right side
    523.96x = 184,912.75
  5. Step 5: Solve for x
    x = 184,912.75/523.96
  6. Step 6: Final answer
    x = 352.91

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Why These Related Problems?

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