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Finding the Fourth Proportional to 468.12, 645.81 and 271.59

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Solution

The fourth proportional to 468.12, 645.81 and 271.59 is: 374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.12 : 645.81 = 271.59 : x
  2. Step 2: Convert to fraction form
    468.12/645.81 = 271.59/x
  3. Step 3: Cross multiply
    468.12x = 645.81 × 271.59
  4. Step 4: Simplify right side
    468.12x = 175,395.54
  5. Step 5: Solve for x
    x = 175,395.54/468.12
  6. Step 6: Final answer
    x = 374.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.