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Finding the Fourth Proportional to 743.42, 1,115.81 and 378.46

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Solution

The fourth proportional to 743.42, 1,115.81 and 378.46 is: 568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.42 : 1,115.81 = 378.46 : x
  2. Step 2: Convert to fraction form
    743.42/1,115.81 = 378.46/x
  3. Step 3: Cross multiply
    743.42x = 1,115.81 × 378.46
  4. Step 4: Simplify right side
    743.42x = 422,289.45
  5. Step 5: Solve for x
    x = 422,289.45/743.42
  6. Step 6: Final answer
    x = 568.04

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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.