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Finding the Fourth Proportional to 291.92, 403.08 and 233.96

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Solution

The fourth proportional to 291.92, 403.08 and 233.96 is: 323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.92 : 403.08 = 233.96 : x
  2. Step 2: Convert to fraction form
    291.92/403.08 = 233.96/x
  3. Step 3: Cross multiply
    291.92x = 403.08 × 233.96
  4. Step 4: Simplify right side
    291.92x = 94,304.60
  5. Step 5: Solve for x
    x = 94,304.60/291.92
  6. Step 6: Final answer
    x = 323.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.