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Finding the Fourth Proportional to 438.56, 605.32 and 298.92

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Solution

The fourth proportional to 438.56, 605.32 and 298.92 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.56 : 605.32 = 298.92 : x
  2. Step 2: Convert to fraction form
    438.56/605.32 = 298.92/x
  3. Step 3: Cross multiply
    438.56x = 605.32 × 298.92
  4. Step 4: Simplify right side
    438.56x = 180,942.25
  5. Step 5: Solve for x
    x = 180,942.25/438.56
  6. Step 6: Final answer
    x = 412.58

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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.