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Finding the Fourth Proportional to 492.83, 680.09 and 282.95

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Solution

The fourth proportional to 492.83, 680.09 and 282.95 is: 390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.83 : 680.09 = 282.95 : x
  2. Step 2: Convert to fraction form
    492.83/680.09 = 282.95/x
  3. Step 3: Cross multiply
    492.83x = 680.09 × 282.95
  4. Step 4: Simplify right side
    492.83x = 192,426.65
  5. Step 5: Solve for x
    x = 192,426.65/492.83
  6. Step 6: Final answer
    x = 390.46

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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.