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Finding the Fourth Proportional to 405.42, 559.17 and 274.41

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Solution

The fourth proportional to 405.42, 559.17 and 274.41 is: 378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.42 : 559.17 = 274.41 : x
  2. Step 2: Convert to fraction form
    405.42/559.17 = 274.41/x
  3. Step 3: Cross multiply
    405.42x = 559.17 × 274.41
  4. Step 4: Simplify right side
    405.42x = 153,441.84
  5. Step 5: Solve for x
    x = 153,441.84/405.42
  6. Step 6: Final answer
    x = 378.48

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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.