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Finding the Fourth Proportional to 4.71, 6.46 and 4.64

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Solution

The fourth proportional to 4.71, 6.46 and 4.64 is: 6.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.71 : 6.46 = 4.64 : x
  2. Step 2: Convert to fraction form
    4.71/6.46 = 4.64/x
  3. Step 3: Cross multiply
    4.71x = 6.46 × 4.64
  4. Step 4: Simplify right side
    4.71x = 29.95
  5. Step 5: Solve for x
    x = 29.95/4.71
  6. Step 6: Final answer
    x = 6.36

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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.