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Finding the Fourth Proportional to 4.57, 6.31 and 2.96

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Solution

The fourth proportional to 4.57, 6.31 and 2.96 is: 4.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.57 : 6.31 = 2.96 : x
  2. Step 2: Convert to fraction form
    4.57/6.31 = 2.96/x
  3. Step 3: Cross multiply
    4.57x = 6.31 × 2.96
  4. Step 4: Simplify right side
    4.57x = 18.65
  5. Step 5: Solve for x
    x = 18.65/4.57
  6. Step 6: Final answer
    x = 4.08

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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.