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Finding the Fourth Proportional to 365.86, 504.66 and 233.08

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Solution

The fourth proportional to 365.86, 504.66 and 233.08 is: 321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.86 : 504.66 = 233.08 : x
  2. Step 2: Convert to fraction form
    365.86/504.66 = 233.08/x
  3. Step 3: Cross multiply
    365.86x = 504.66 × 233.08
  4. Step 4: Simplify right side
    365.86x = 117,626.15
  5. Step 5: Solve for x
    x = 117,626.15/365.86
  6. Step 6: Final answer
    x = 321.51

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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.