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Finding the Fourth Proportional to 492.88, 679.88 and 306.34

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Solution

The fourth proportional to 492.88, 679.88 and 306.34 is: 422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.88 : 679.88 = 306.34 : x
  2. Step 2: Convert to fraction form
    492.88/679.88 = 306.34/x
  3. Step 3: Cross multiply
    492.88x = 679.88 × 306.34
  4. Step 4: Simplify right side
    492.88x = 208,274.44
  5. Step 5: Solve for x
    x = 208,274.44/492.88
  6. Step 6: Final answer
    x = 422.57

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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.