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Finding the Fourth Proportional to 492.37, 679.17 and 295.75

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Solution

The fourth proportional to 492.37, 679.17 and 295.75 is: 407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.37 : 679.17 = 295.75 : x
  2. Step 2: Convert to fraction form
    492.37/679.17 = 295.75/x
  3. Step 3: Cross multiply
    492.37x = 679.17 × 295.75
  4. Step 4: Simplify right side
    492.37x = 200,864.53
  5. Step 5: Solve for x
    x = 200,864.53/492.37
  6. Step 6: Final answer
    x = 407.95

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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.