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Finding the Fourth Proportional to 492.97, 740.15 and 249.67

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Solution

The fourth proportional to 492.97, 740.15 and 249.67 is: 374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.97 : 740.15 = 249.67 : x
  2. Step 2: Convert to fraction form
    492.97/740.15 = 249.67/x
  3. Step 3: Cross multiply
    492.97x = 740.15 × 249.67
  4. Step 4: Simplify right side
    492.97x = 184,793.25
  5. Step 5: Solve for x
    x = 184,793.25/492.97
  6. Step 6: Final answer
    x = 374.86

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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.