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Finding the Fourth Proportional to 365.97, 504.86 and 218.52

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Solution

The fourth proportional to 365.97, 504.86 and 218.52 is: 301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.97 : 504.86 = 218.52 : x
  2. Step 2: Convert to fraction form
    365.97/504.86 = 218.52/x
  3. Step 3: Cross multiply
    365.97x = 504.86 × 218.52
  4. Step 4: Simplify right side
    365.97x = 110,322.01
  5. Step 5: Solve for x
    x = 110,322.01/365.97
  6. Step 6: Final answer
    x = 301.45

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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.