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Finding the Fourth Proportional to 365.14, 504.08 and 234.22

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Solution

The fourth proportional to 365.14, 504.08 and 234.22 is: 323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.14 : 504.08 = 234.22 : x
  2. Step 2: Convert to fraction form
    365.14/504.08 = 234.22/x
  3. Step 3: Cross multiply
    365.14x = 504.08 × 234.22
  4. Step 4: Simplify right side
    365.14x = 118,065.62
  5. Step 5: Solve for x
    x = 118,065.62/365.14
  6. Step 6: Final answer
    x = 323.34

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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.