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Finding the Fourth Proportional to 309.06, 464.06 and 269.99

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Solution

The fourth proportional to 309.06, 464.06 and 269.99 is: 405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.06 : 464.06 = 269.99 : x
  2. Step 2: Convert to fraction form
    309.06/464.06 = 269.99/x
  3. Step 3: Cross multiply
    309.06x = 464.06 × 269.99
  4. Step 4: Simplify right side
    309.06x = 125,291.44
  5. Step 5: Solve for x
    x = 125,291.44/309.06
  6. Step 6: Final answer
    x = 405.40

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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.