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Finding the Fourth Proportional to 4.60, 6.91 and 4.19

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Solution

The fourth proportional to 4.60, 6.91 and 4.19 is: 6.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.60 : 6.91 = 4.19 : x
  2. Step 2: Convert to fraction form
    4.60/6.91 = 4.19/x
  3. Step 3: Cross multiply
    4.60x = 6.91 × 4.19
  4. Step 4: Simplify right side
    4.60x = 28.93
  5. Step 5: Solve for x
    x = 28.93/4.60
  6. Step 6: Final answer
    x = 6.29

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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.