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Finding the Fourth Proportional to 269.32, 403.44 and 230.80

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Solution

The fourth proportional to 269.32, 403.44 and 230.80 is: 345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.32 : 403.44 = 230.80 : x
  2. Step 2: Convert to fraction form
    269.32/403.44 = 230.80/x
  3. Step 3: Cross multiply
    269.32x = 403.44 × 230.80
  4. Step 4: Simplify right side
    269.32x = 93,113.95
  5. Step 5: Solve for x
    x = 93,113.95/269.32
  6. Step 6: Final answer
    x = 345.74

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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.