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Finding the Fourth Proportional to 523.14, 785.06 and 234.60

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Solution

The fourth proportional to 523.14, 785.06 and 234.60 is: 352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 785.06 = 234.60 : x
  2. Step 2: Convert to fraction form
    523.14/785.06 = 234.60/x
  3. Step 3: Cross multiply
    523.14x = 785.06 × 234.60
  4. Step 4: Simplify right side
    523.14x = 184,175.08
  5. Step 5: Solve for x
    x = 184,175.08/523.14
  6. Step 6: Final answer
    x = 352.06

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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.