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Finding the Fourth Proportional to 365.70, 504.75 and 218.42

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Solution

The fourth proportional to 365.70, 504.75 and 218.42 is: 301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.70 : 504.75 = 218.42 : x
  2. Step 2: Convert to fraction form
    365.70/504.75 = 218.42/x
  3. Step 3: Cross multiply
    365.70x = 504.75 × 218.42
  4. Step 4: Simplify right side
    365.70x = 110,247.50
  5. Step 5: Solve for x
    x = 110,247.50/365.70
  6. Step 6: Final answer
    x = 301.47

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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.