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Finding the Fourth Proportional to 405.46, 559.23 and 274.42

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Solution

The fourth proportional to 405.46, 559.23 and 274.42 is: 378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.46 : 559.23 = 274.42 : x
  2. Step 2: Convert to fraction form
    405.46/559.23 = 274.42/x
  3. Step 3: Cross multiply
    405.46x = 559.23 × 274.42
  4. Step 4: Simplify right side
    405.46x = 153,463.90
  5. Step 5: Solve for x
    x = 153,463.90/405.46
  6. Step 6: Final answer
    x = 378.49

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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.