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Finding the Fourth Proportional to 3.00, 4.13 and 2.40

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Solution

The fourth proportional to 3.00, 4.13 and 2.40 is: 3.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.00 : 4.13 = 2.40 : x
  2. Step 2: Convert to fraction form
    3.00/4.13 = 2.40/x
  3. Step 3: Cross multiply
    3.00x = 4.13 × 2.40
  4. Step 4: Simplify right side
    3.00x = 9.89
  5. Step 5: Solve for x
    x = 9.89/3.00
  6. Step 6: Final answer
    x = 3.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.