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Finding the Fourth Proportional to 492.01, 678.97 and 282.19

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Solution

The fourth proportional to 492.01, 678.97 and 282.19 is: 389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.01 : 678.97 = 282.19 : x
  2. Step 2: Convert to fraction form
    492.01/678.97 = 282.19/x
  3. Step 3: Cross multiply
    492.01x = 678.97 × 282.19
  4. Step 4: Simplify right side
    492.01x = 191,598.54
  5. Step 5: Solve for x
    x = 191,598.54/492.01
  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.