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Finding the Fourth Proportional to 405.42, 608.26 and 189.14

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Solution

The fourth proportional to 405.42, 608.26 and 189.14 is: 283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.42 : 608.26 = 189.14 : x
  2. Step 2: Convert to fraction form
    405.42/608.26 = 189.14/x
  3. Step 3: Cross multiply
    405.42x = 608.26 × 189.14
  4. Step 4: Simplify right side
    405.42x = 115,046.30
  5. Step 5: Solve for x
    x = 115,046.30/405.42
  6. Step 6: Final answer
    x = 283.77

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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.