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Finding the Fourth Proportional to 3.09, 4.64 and 3.05

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Solution

The fourth proportional to 3.09, 4.64 and 3.05 is: 4.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.09 : 4.64 = 3.05 : x
  2. Step 2: Convert to fraction form
    3.09/4.64 = 3.05/x
  3. Step 3: Cross multiply
    3.09x = 4.64 × 3.05
  4. Step 4: Simplify right side
    3.09x = 14.11
  5. Step 5: Solve for x
    x = 14.11/3.09
  6. Step 6: Final answer
    x = 4.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.