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Finding the Fourth Proportional to 405.56, 559.24 and 281.40

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Solution

The fourth proportional to 405.56, 559.24 and 281.40 is: 388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.56 : 559.24 = 281.40 : x
  2. Step 2: Convert to fraction form
    405.56/559.24 = 281.40/x
  3. Step 3: Cross multiply
    405.56x = 559.24 × 281.40
  4. Step 4: Simplify right side
    405.56x = 157,370.14
  5. Step 5: Solve for x
    x = 157,370.14/405.56
  6. Step 6: Final answer
    x = 388.03

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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.