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Finding the Fourth Proportional to 405.33, 559.14 and 306.91

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Solution

The fourth proportional to 405.33, 559.14 and 306.91 is: 423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.33 : 559.14 = 306.91 : x
  2. Step 2: Convert to fraction form
    405.33/559.14 = 306.91/x
  3. Step 3: Cross multiply
    405.33x = 559.14 × 306.91
  4. Step 4: Simplify right side
    405.33x = 171,604.12
  5. Step 5: Solve for x
    x = 171,604.12/405.33
  6. Step 6: Final answer
    x = 423.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.