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Finding the Fourth Proportional to 438.33, 604.38 and 298.41

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Solution

The fourth proportional to 438.33, 604.38 and 298.41 is: 411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.33 : 604.38 = 298.41 : x
  2. Step 2: Convert to fraction form
    438.33/604.38 = 298.41/x
  3. Step 3: Cross multiply
    438.33x = 604.38 × 298.41
  4. Step 4: Simplify right side
    438.33x = 180,353.04
  5. Step 5: Solve for x
    x = 180,353.04/438.33
  6. Step 6: Final answer
    x = 411.45

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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.