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Finding the Fourth Proportional to 4.64, 6.42 and 4.46

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Solution

The fourth proportional to 4.64, 6.42 and 4.46 is: 6.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.64 : 6.42 = 4.46 : x
  2. Step 2: Convert to fraction form
    4.64/6.42 = 4.46/x
  3. Step 3: Cross multiply
    4.64x = 6.42 × 4.46
  4. Step 4: Simplify right side
    4.64x = 28.63
  5. Step 5: Solve for x
    x = 28.63/4.64
  6. Step 6: Final answer
    x = 6.17

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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.