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Finding the Fourth Proportional to 462.15, 693.27 and 267.37

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Solution

The fourth proportional to 462.15, 693.27 and 267.37 is: 401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.15 : 693.27 = 267.37 : x
  2. Step 2: Convert to fraction form
    462.15/693.27 = 267.37/x
  3. Step 3: Cross multiply
    462.15x = 693.27 × 267.37
  4. Step 4: Simplify right side
    462.15x = 185,357.87
  5. Step 5: Solve for x
    x = 185,357.87/462.15
  6. Step 6: Final answer
    x = 401.08

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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.