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Finding the Fourth Proportional to 492.02, 679.02 and 295.54

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Solution

The fourth proportional to 492.02, 679.02 and 295.54 is: 407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.02 : 679.02 = 295.54 : x
  2. Step 2: Convert to fraction form
    492.02/679.02 = 295.54/x
  3. Step 3: Cross multiply
    492.02x = 679.02 × 295.54
  4. Step 4: Simplify right side
    492.02x = 200,677.57
  5. Step 5: Solve for x
    x = 200,677.57/492.02
  6. Step 6: Final answer
    x = 407.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.