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Finding the Fourth Proportional to 492.40, 679.49 and 282.65

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Solution

The fourth proportional to 492.40, 679.49 and 282.65 is: 390.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.40 : 679.49 = 282.65 : x
  2. Step 2: Convert to fraction form
    492.40/679.49 = 282.65/x
  3. Step 3: Cross multiply
    492.40x = 679.49 × 282.65
  4. Step 4: Simplify right side
    492.40x = 192,057.85
  5. Step 5: Solve for x
    x = 192,057.85/492.40
  6. Step 6: Final answer
    x = 390.04

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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.