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Finding the Fourth Proportional to 405.28, 608.32 and 274.86

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Solution

The fourth proportional to 405.28, 608.32 and 274.86 is: 412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.28 : 608.32 = 274.86 : x
  2. Step 2: Convert to fraction form
    405.28/608.32 = 274.86/x
  3. Step 3: Cross multiply
    405.28x = 608.32 × 274.86
  4. Step 4: Simplify right side
    405.28x = 167,202.84
  5. Step 5: Solve for x
    x = 167,202.84/405.28
  6. Step 6: Final answer
    x = 412.56

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Why These Related Problems?

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