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Finding the Fourth Proportional to 378.09, 520.87 and 267.39

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Solution

The fourth proportional to 378.09, 520.87 and 267.39 is: 368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.09 : 520.87 = 267.39 : x
  2. Step 2: Convert to fraction form
    378.09/520.87 = 267.39/x
  3. Step 3: Cross multiply
    378.09x = 520.87 × 267.39
  4. Step 4: Simplify right side
    378.09x = 139,275.43
  5. Step 5: Solve for x
    x = 139,275.43/378.09
  6. Step 6: Final answer
    x = 368.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.