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Finding the Fourth Proportional to 734.25, 1,100.72 and 338.67

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Solution

The fourth proportional to 734.25, 1,100.72 and 338.67 is: 507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.25 : 1,100.72 = 338.67 : x
  2. Step 2: Convert to fraction form
    734.25/1,100.72 = 338.67/x
  3. Step 3: Cross multiply
    734.25x = 1,100.72 × 338.67
  4. Step 4: Simplify right side
    734.25x = 372,780.84
  5. Step 5: Solve for x
    x = 372,780.84/734.25
  6. Step 6: Final answer
    x = 507.70

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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.