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Finding the Fourth Proportional to 4.30, 6.43 and 3.74

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Solution

The fourth proportional to 4.30, 6.43 and 3.74 is: 5.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.30 : 6.43 = 3.74 : x
  2. Step 2: Convert to fraction form
    4.30/6.43 = 3.74/x
  3. Step 3: Cross multiply
    4.30x = 6.43 × 3.74
  4. Step 4: Simplify right side
    4.30x = 24.05
  5. Step 5: Solve for x
    x = 24.05/4.30
  6. Step 6: Final answer
    x = 5.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.