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Finding the Fourth Proportional to 492.95, 680.31 and 296.46

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Solution

The fourth proportional to 492.95, 680.31 and 296.46 is: 409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.95 : 680.31 = 296.46 : x
  2. Step 2: Convert to fraction form
    492.95/680.31 = 296.46/x
  3. Step 3: Cross multiply
    492.95x = 680.31 × 296.46
  4. Step 4: Simplify right side
    492.95x = 201,684.70
  5. Step 5: Solve for x
    x = 201,684.70/492.95
  6. Step 6: Final answer
    x = 409.14

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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.