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Finding the Fourth Proportional to 4.70, 6.41 and 4.61

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Solution

The fourth proportional to 4.70, 6.41 and 4.61 is: 6.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.70 : 6.41 = 4.61 : x
  2. Step 2: Convert to fraction form
    4.70/6.41 = 4.61/x
  3. Step 3: Cross multiply
    4.70x = 6.41 × 4.61
  4. Step 4: Simplify right side
    4.70x = 29.58
  5. Step 5: Solve for x
    x = 29.58/4.70
  6. Step 6: Final answer
    x = 6.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.