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Finding the Fourth Proportional to 523.64, 785.46 and 234.74

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Solution

The fourth proportional to 523.64, 785.46 and 234.74 is: 352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.64 : 785.46 = 234.74 : x
  2. Step 2: Convert to fraction form
    523.64/785.46 = 234.74/x
  3. Step 3: Cross multiply
    523.64x = 785.46 × 234.74
  4. Step 4: Simplify right side
    523.64x = 184,378.88
  5. Step 5: Solve for x
    x = 184,378.88/523.64
  6. Step 6: Final answer
    x = 352.11

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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.