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Finding the Fourth Proportional to 327.16, 450.93 and 228.34

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Solution

The fourth proportional to 327.16, 450.93 and 228.34 is: 314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.16 : 450.93 = 228.34 : x
  2. Step 2: Convert to fraction form
    327.16/450.93 = 228.34/x
  3. Step 3: Cross multiply
    327.16x = 450.93 × 228.34
  4. Step 4: Simplify right side
    327.16x = 102,965.36
  5. Step 5: Solve for x
    x = 102,965.36/327.16
  6. Step 6: Final answer
    x = 314.72

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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.