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Finding the Fourth Proportional to 405.57, 559.67 and 274.62

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Solution

The fourth proportional to 405.57, 559.67 and 274.62 is: 378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.57 : 559.67 = 274.62 : x
  2. Step 2: Convert to fraction form
    405.57/559.67 = 274.62/x
  3. Step 3: Cross multiply
    405.57x = 559.67 × 274.62
  4. Step 4: Simplify right side
    405.57x = 153,695.20
  5. Step 5: Solve for x
    x = 153,695.20/405.57
  6. Step 6: Final answer
    x = 378.96

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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.