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Finding the Fourth Proportional to 365.34, 503.96 and 234.20

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Solution

The fourth proportional to 365.34, 503.96 and 234.20 is: 323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.34 : 503.96 = 234.20 : x
  2. Step 2: Convert to fraction form
    365.34/503.96 = 234.20/x
  3. Step 3: Cross multiply
    365.34x = 503.96 × 234.20
  4. Step 4: Simplify right side
    365.34x = 118,027.43
  5. Step 5: Solve for x
    x = 118,027.43/365.34
  6. Step 6: Final answer
    x = 323.06

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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.