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Finding the Fourth Proportional to 303.96, 418.73 and 293.16

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Solution

The fourth proportional to 303.96, 418.73 and 293.16 is: 403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.96 : 418.73 = 293.16 : x
  2. Step 2: Convert to fraction form
    303.96/418.73 = 293.16/x
  3. Step 3: Cross multiply
    303.96x = 418.73 × 293.16
  4. Step 4: Simplify right side
    303.96x = 122,753.42
  5. Step 5: Solve for x
    x = 122,753.42/303.96
  6. Step 6: Final answer
    x = 403.85

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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.