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Finding the Fourth Proportional to 405.68, 608.51 and 174.42

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Solution

The fourth proportional to 405.68, 608.51 and 174.42 is: 261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.68 : 608.51 = 174.42 : x
  2. Step 2: Convert to fraction form
    405.68/608.51 = 174.42/x
  3. Step 3: Cross multiply
    405.68x = 608.51 × 174.42
  4. Step 4: Simplify right side
    405.68x = 106,136.31
  5. Step 5: Solve for x
    x = 106,136.31/405.68
  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.