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Finding the Fourth Proportional to 405.85, 608.97 and 189.40

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Solution

The fourth proportional to 405.85, 608.97 and 189.40 is: 284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.85 : 608.97 = 189.40 : x
  2. Step 2: Convert to fraction form
    405.85/608.97 = 189.40/x
  3. Step 3: Cross multiply
    405.85x = 608.97 × 189.40
  4. Step 4: Simplify right side
    405.85x = 115,335.87
  5. Step 5: Solve for x
    x = 115,335.87/405.85
  6. Step 6: Final answer
    x = 284.19

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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.