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Finding the Fourth Proportional to 4.67, 6.46 and 4.12

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Solution

The fourth proportional to 4.67, 6.46 and 4.12 is: 5.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.67 : 6.46 = 4.12 : x
  2. Step 2: Convert to fraction form
    4.67/6.46 = 4.12/x
  3. Step 3: Cross multiply
    4.67x = 6.46 × 4.12
  4. Step 4: Simplify right side
    4.67x = 26.63
  5. Step 5: Solve for x
    x = 26.63/4.67
  6. Step 6: Final answer
    x = 5.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.