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Finding the Fourth Proportional to 492.03, 678.94 and 282.22

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Solution

The fourth proportional to 492.03, 678.94 and 282.22 is: 389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.03 : 678.94 = 282.22 : x
  2. Step 2: Convert to fraction form
    492.03/678.94 = 282.22/x
  3. Step 3: Cross multiply
    492.03x = 678.94 × 282.22
  4. Step 4: Simplify right side
    492.03x = 191,608.04
  5. Step 5: Solve for x
    x = 191,608.04/492.03
  6. Step 6: Final answer
    x = 389.42

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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.