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Finding the Fourth Proportional to 492.70, 739 and 309.54

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Solution

The fourth proportional to 492.70, 739 and 309.54 is: 464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.70 : 739 = 309.54 : x
  2. Step 2: Convert to fraction form
    492.70/739 = 309.54/x
  3. Step 3: Cross multiply
    492.70x = 739 × 309.54
  4. Step 4: Simplify right side
    492.70x = 228,750.06
  5. Step 5: Solve for x
    x = 228,750.06/492.70
  6. Step 6: Final answer
    x = 464.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.