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Finding the Fourth Proportional to 437.85, 604.26 and 298.26

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Solution

The fourth proportional to 437.85, 604.26 and 298.26 is: 411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.85 : 604.26 = 298.26 : x
  2. Step 2: Convert to fraction form
    437.85/604.26 = 298.26/x
  3. Step 3: Cross multiply
    437.85x = 604.26 × 298.26
  4. Step 4: Simplify right side
    437.85x = 180,226.59
  5. Step 5: Solve for x
    x = 180,226.59/437.85
  6. Step 6: Final answer
    x = 411.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.