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Finding the Fourth Proportional to 492.60, 739.35 and 376.67

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Solution

The fourth proportional to 492.60, 739.35 and 376.67 is: 565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.60 : 739.35 = 376.67 : x
  2. Step 2: Convert to fraction form
    492.60/739.35 = 376.67/x
  3. Step 3: Cross multiply
    492.60x = 739.35 × 376.67
  4. Step 4: Simplify right side
    492.60x = 278,487.27
  5. Step 5: Solve for x
    x = 278,487.27/492.60
  6. Step 6: Final answer
    x = 565.34

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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.