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Finding the Fourth Proportional to 523.23, 784.85 and 234.68

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Solution

The fourth proportional to 523.23, 784.85 and 234.68 is: 352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.23 : 784.85 = 234.68 : x
  2. Step 2: Convert to fraction form
    523.23/784.85 = 234.68/x
  3. Step 3: Cross multiply
    523.23x = 784.85 × 234.68
  4. Step 4: Simplify right side
    523.23x = 184,183.50
  5. Step 5: Solve for x
    x = 184,183.50/523.23
  6. Step 6: Final answer
    x = 352.01

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Double scale
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Similar ratio
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1.5x scale

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.