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Finding the Fourth Proportional to 3.29, 4.56 and 2.99

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Solution

The fourth proportional to 3.29, 4.56 and 2.99 is: 4.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.29 : 4.56 = 2.99 : x
  2. Step 2: Convert to fraction form
    3.29/4.56 = 2.99/x
  3. Step 3: Cross multiply
    3.29x = 4.56 × 2.99
  4. Step 4: Simplify right side
    3.29x = 13.63
  5. Step 5: Solve for x
    x = 13.63/3.29
  6. Step 6: Final answer
    x = 4.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.