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Finding the Fourth Proportional to 492.26, 678.98 and 305.56

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Solution

The fourth proportional to 492.26, 678.98 and 305.56 is: 421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.26 : 678.98 = 305.56 : x
  2. Step 2: Convert to fraction form
    492.26/678.98 = 305.56/x
  3. Step 3: Cross multiply
    492.26x = 678.98 × 305.56
  4. Step 4: Simplify right side
    492.26x = 207,469.13
  5. Step 5: Solve for x
    x = 207,469.13/492.26
  6. Step 6: Final answer
    x = 421.46

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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.