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Finding the Fourth Proportional to 405.96, 608.97 and 117.42

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Solution

The fourth proportional to 405.96, 608.97 and 117.42 is: 176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.96 : 608.97 = 117.42 : x
  2. Step 2: Convert to fraction form
    405.96/608.97 = 117.42/x
  3. Step 3: Cross multiply
    405.96x = 608.97 × 117.42
  4. Step 4: Simplify right side
    405.96x = 71,505.26
  5. Step 5: Solve for x
    x = 71,505.26/405.96
  6. Step 6: Final answer
    x = 176.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.