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Finding the Fourth Proportional to 323.93, 486.07 and 104.63

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Solution

The fourth proportional to 323.93, 486.07 and 104.63 is: 156.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.93 : 486.07 = 104.63 : x
  2. Step 2: Convert to fraction form
    323.93/486.07 = 104.63/x
  3. Step 3: Cross multiply
    323.93x = 486.07 × 104.63
  4. Step 4: Simplify right side
    323.93x = 50,854.81
  5. Step 5: Solve for x
    x = 50,854.81/323.93
  6. Step 6: Final answer
    x = 156.99

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