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Finding the Fourth Proportional to 365.58, 504.70 and 218.23

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Solution

The fourth proportional to 365.58, 504.70 and 218.23 is: 301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.58 : 504.70 = 218.23 : x
  2. Step 2: Convert to fraction form
    365.58/504.70 = 218.23/x
  3. Step 3: Cross multiply
    365.58x = 504.70 × 218.23
  4. Step 4: Simplify right side
    365.58x = 110,138.87
  5. Step 5: Solve for x
    x = 110,138.87/365.58
  6. Step 6: Final answer
    x = 301.27

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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.