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Finding the Fourth Proportional to 365.70, 504.62 and 216.33

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Solution

The fourth proportional to 365.70, 504.62 and 216.33 is: 298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.70 : 504.62 = 216.33 : x
  2. Step 2: Convert to fraction form
    365.70/504.62 = 216.33/x
  3. Step 3: Cross multiply
    365.70x = 504.62 × 216.33
  4. Step 4: Simplify right side
    365.70x = 109,163.36
  5. Step 5: Solve for x
    x = 109,163.36/365.70
  6. Step 6: Final answer
    x = 298.51

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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.