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Finding the Fourth Proportional to 291.85, 436.64 and 230.34

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Solution

The fourth proportional to 291.85, 436.64 and 230.34 is: 344.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.85 : 436.64 = 230.34 : x
  2. Step 2: Convert to fraction form
    291.85/436.64 = 230.34/x
  3. Step 3: Cross multiply
    291.85x = 436.64 × 230.34
  4. Step 4: Simplify right side
    291.85x = 100,577.44
  5. Step 5: Solve for x
    x = 100,577.44/291.85
  6. Step 6: Final answer
    x = 344.62

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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.