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Finding the Fourth Proportional to 365.60, 504.47 and 234.78

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Solution

The fourth proportional to 365.60, 504.47 and 234.78 is: 323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.60 : 504.47 = 234.78 : x
  2. Step 2: Convert to fraction form
    365.60/504.47 = 234.78/x
  3. Step 3: Cross multiply
    365.60x = 504.47 × 234.78
  4. Step 4: Simplify right side
    365.60x = 118,440.05
  5. Step 5: Solve for x
    x = 118,440.05/365.60
  6. Step 6: Final answer
    x = 323.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.