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Finding the Fourth Proportional to 405.96, 608.42 and 174.57

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Solution

The fourth proportional to 405.96, 608.42 and 174.57 is: 261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.96 : 608.42 = 174.57 : x
  2. Step 2: Convert to fraction form
    405.96/608.42 = 174.57/x
  3. Step 3: Cross multiply
    405.96x = 608.42 × 174.57
  4. Step 4: Simplify right side
    405.96x = 106,211.01
  5. Step 5: Solve for x
    x = 106,211.01/405.96
  6. Step 6: Final answer
    x = 261.63

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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.