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Finding the Fourth Proportional to 4.80, 6.66 and 4.66

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Solution

The fourth proportional to 4.80, 6.66 and 4.66 is: 6.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.80 : 6.66 = 4.66 : x
  2. Step 2: Convert to fraction form
    4.80/6.66 = 4.66/x
  3. Step 3: Cross multiply
    4.80x = 6.66 × 4.66
  4. Step 4: Simplify right side
    4.80x = 31.04
  5. Step 5: Solve for x
    x = 31.04/4.80
  6. Step 6: Final answer
    x = 6.47

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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.