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Finding the Fourth Proportional to 492.55, 679.84 and 296.19

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Solution

The fourth proportional to 492.55, 679.84 and 296.19 is: 408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.55 : 679.84 = 296.19 : x
  2. Step 2: Convert to fraction form
    492.55/679.84 = 296.19/x
  3. Step 3: Cross multiply
    492.55x = 679.84 × 296.19
  4. Step 4: Simplify right side
    492.55x = 201,361.07
  5. Step 5: Solve for x
    x = 201,361.07/492.55
  6. Step 6: Final answer
    x = 408.82

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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.