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Finding the Fourth Proportional to 405.87, 608.87 and 223.35

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Solution

The fourth proportional to 405.87, 608.87 and 223.35 is: 335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.87 : 608.87 = 223.35 : x
  2. Step 2: Convert to fraction form
    405.87/608.87 = 223.35/x
  3. Step 3: Cross multiply
    405.87x = 608.87 × 223.35
  4. Step 4: Simplify right side
    405.87x = 135,991.11
  5. Step 5: Solve for x
    x = 135,991.11/405.87
  6. Step 6: Final answer
    x = 335.06

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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.