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Finding the Fourth Proportional to 541.34, 812.19 and 267.54

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Solution

The fourth proportional to 541.34, 812.19 and 267.54 is: 401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.34 : 812.19 = 267.54 : x
  2. Step 2: Convert to fraction form
    541.34/812.19 = 267.54/x
  3. Step 3: Cross multiply
    541.34x = 812.19 × 267.54
  4. Step 4: Simplify right side
    541.34x = 217,293.31
  5. Step 5: Solve for x
    x = 217,293.31/541.34
  6. Step 6: Final answer
    x = 401.40

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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.