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Finding the Fourth Proportional to 485.96, 729.12 and 269.30

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Solution

The fourth proportional to 485.96, 729.12 and 269.30 is: 404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.96 : 729.12 = 269.30 : x
  2. Step 2: Convert to fraction form
    485.96/729.12 = 269.30/x
  3. Step 3: Cross multiply
    485.96x = 729.12 × 269.30
  4. Step 4: Simplify right side
    485.96x = 196,352.02
  5. Step 5: Solve for x
    x = 196,352.02/485.96
  6. Step 6: Final answer
    x = 404.05

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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.