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Finding the Fourth Proportional to 405.36, 608.07 and 174.30

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Solution

The fourth proportional to 405.36, 608.07 and 174.30 is: 261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.36 : 608.07 = 174.30 : x
  2. Step 2: Convert to fraction form
    405.36/608.07 = 174.30/x
  3. Step 3: Cross multiply
    405.36x = 608.07 × 174.30
  4. Step 4: Simplify right side
    405.36x = 105,986.60
  5. Step 5: Solve for x
    x = 105,986.60/405.36
  6. Step 6: Final answer
    x = 261.46

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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.