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Finding the Fourth Proportional to 405.52, 608.44 and 189.28

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Solution

The fourth proportional to 405.52, 608.44 and 189.28 is: 283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.52 : 608.44 = 189.28 : x
  2. Step 2: Convert to fraction form
    405.52/608.44 = 189.28/x
  3. Step 3: Cross multiply
    405.52x = 608.44 × 189.28
  4. Step 4: Simplify right side
    405.52x = 115,165.52
  5. Step 5: Solve for x
    x = 115,165.52/405.52
  6. Step 6: Final answer
    x = 283.99

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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.