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Finding the Fourth Proportional to 541.40, 812.15 and 267.34

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Solution

The fourth proportional to 541.40, 812.15 and 267.34 is: 401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.40 : 812.15 = 267.34 : x
  2. Step 2: Convert to fraction form
    541.40/812.15 = 267.34/x
  3. Step 3: Cross multiply
    541.40x = 812.15 × 267.34
  4. Step 4: Simplify right side
    541.40x = 217,118.95
  5. Step 5: Solve for x
    x = 217,118.95/541.40
  6. Step 6: Final answer
    x = 401.04

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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.