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Finding the Fourth Proportional to 365.94, 504.92 and 218.63

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Solution

The fourth proportional to 365.94, 504.92 and 218.63 is: 301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.94 : 504.92 = 218.63 : x
  2. Step 2: Convert to fraction form
    365.94/504.92 = 218.63/x
  3. Step 3: Cross multiply
    365.94x = 504.92 × 218.63
  4. Step 4: Simplify right side
    365.94x = 110,392.47
  5. Step 5: Solve for x
    x = 110,392.47/365.94
  6. Step 6: Final answer
    x = 301.67

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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.