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Finding the Fourth Proportional to 321.84, 443.63 and 228.39

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Solution

The fourth proportional to 321.84, 443.63 and 228.39 is: 314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.84 : 443.63 = 228.39 : x
  2. Step 2: Convert to fraction form
    321.84/443.63 = 228.39/x
  3. Step 3: Cross multiply
    321.84x = 443.63 × 228.39
  4. Step 4: Simplify right side
    321.84x = 101,319.51
  5. Step 5: Solve for x
    x = 101,319.51/321.84
  6. Step 6: Final answer
    x = 314.81

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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.