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Finding the Fourth Proportional to 323.89, 486.45 and 277.72

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Solution

The fourth proportional to 323.89, 486.45 and 277.72 is: 417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.89 : 486.45 = 277.72 : x
  2. Step 2: Convert to fraction form
    323.89/486.45 = 277.72/x
  3. Step 3: Cross multiply
    323.89x = 486.45 × 277.72
  4. Step 4: Simplify right side
    323.89x = 135,096.89
  5. Step 5: Solve for x
    x = 135,096.89/323.89
  6. Step 6: Final answer
    x = 417.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.