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Finding the Fourth Proportional to 396.09, 546.51 and 228.06

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Solution

The fourth proportional to 396.09, 546.51 and 228.06 is: 314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.09 : 546.51 = 228.06 : x
  2. Step 2: Convert to fraction form
    396.09/546.51 = 228.06/x
  3. Step 3: Cross multiply
    396.09x = 546.51 × 228.06
  4. Step 4: Simplify right side
    396.09x = 124,637.07
  5. Step 5: Solve for x
    x = 124,637.07/396.09
  6. Step 6: Final answer
    x = 314.67

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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.