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Finding the Fourth Proportional to 405.78, 608.94 and 189.24

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Solution

The fourth proportional to 405.78, 608.94 and 189.24 is: 283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.78 : 608.94 = 189.24 : x
  2. Step 2: Convert to fraction form
    405.78/608.94 = 189.24/x
  3. Step 3: Cross multiply
    405.78x = 608.94 × 189.24
  4. Step 4: Simplify right side
    405.78x = 115,235.81
  5. Step 5: Solve for x
    x = 115,235.81/405.78
  6. Step 6: Final answer
    x = 283.99

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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.