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Finding the Fourth Proportional to 365.05, 503.43 and 233.83

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Solution

The fourth proportional to 365.05, 503.43 and 233.83 is: 322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.05 : 503.43 = 233.83 : x
  2. Step 2: Convert to fraction form
    365.05/503.43 = 233.83/x
  3. Step 3: Cross multiply
    365.05x = 503.43 × 233.83
  4. Step 4: Simplify right side
    365.05x = 117,717.04
  5. Step 5: Solve for x
    x = 117,717.04/365.05
  6. Step 6: Final answer
    x = 322.47

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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.