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Finding the Fourth Proportional to 405.56, 607.89 and 174.41

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Solution

The fourth proportional to 405.56, 607.89 and 174.41 is: 261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.56 : 607.89 = 174.41 : x
  2. Step 2: Convert to fraction form
    405.56/607.89 = 174.41/x
  3. Step 3: Cross multiply
    405.56x = 607.89 × 174.41
  4. Step 4: Simplify right side
    405.56x = 106,022.09
  5. Step 5: Solve for x
    x = 106,022.09/405.56
  6. Step 6: Final answer
    x = 261.42

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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.