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Finding the Fourth Proportional to 323.36, 485.10 and 314.45

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Solution

The fourth proportional to 323.36, 485.10 and 314.45 is: 471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.36 : 485.10 = 314.45 : x
  2. Step 2: Convert to fraction form
    323.36/485.10 = 314.45/x
  3. Step 3: Cross multiply
    323.36x = 485.10 × 314.45
  4. Step 4: Simplify right side
    323.36x = 152,537.27
  5. Step 5: Solve for x
    x = 152,537.27/323.36
  6. Step 6: Final answer
    x = 471.73

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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.