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Finding the Fourth Proportional to 405.86, 608.58 and 189.59

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Solution

The fourth proportional to 405.86, 608.58 and 189.59 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.86 : 608.58 = 189.59 : x
  2. Step 2: Convert to fraction form
    405.86/608.58 = 189.59/x
  3. Step 3: Cross multiply
    405.86x = 608.58 × 189.59
  4. Step 4: Simplify right side
    405.86x = 115,377.64
  5. Step 5: Solve for x
    x = 115,377.64/405.86
  6. Step 6: Final answer
    x = 284.28

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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.