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Finding the Fourth Proportional to 365.14, 503.94 and 217.86

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Solution

The fourth proportional to 365.14, 503.94 and 217.86 is: 300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.14 : 503.94 = 217.86 : x
  2. Step 2: Convert to fraction form
    365.14/503.94 = 217.86/x
  3. Step 3: Cross multiply
    365.14x = 503.94 × 217.86
  4. Step 4: Simplify right side
    365.14x = 109,788.37
  5. Step 5: Solve for x
    x = 109,788.37/365.14
  6. Step 6: Final answer
    x = 300.67

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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.