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Finding the Fourth Proportional to 405.68, 608.72 and 200.34

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Solution

The fourth proportional to 405.68, 608.72 and 200.34 is: 300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.68 : 608.72 = 200.34 : x
  2. Step 2: Convert to fraction form
    405.68/608.72 = 200.34/x
  3. Step 3: Cross multiply
    405.68x = 608.72 × 200.34
  4. Step 4: Simplify right side
    405.68x = 121,949.96
  5. Step 5: Solve for x
    x = 121,949.96/405.68
  6. Step 6: Final answer
    x = 300.61

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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.