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Finding the Fourth Proportional to 405.86, 608.52 and 200.48

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Solution

The fourth proportional to 405.86, 608.52 and 200.48 is: 300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.86 : 608.52 = 200.48 : x
  2. Step 2: Convert to fraction form
    405.86/608.52 = 200.48/x
  3. Step 3: Cross multiply
    405.86x = 608.52 × 200.48
  4. Step 4: Simplify right side
    405.86x = 121,996.09
  5. Step 5: Solve for x
    x = 121,996.09/405.86
  6. Step 6: Final answer
    x = 300.59

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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.