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Finding the Fourth Proportional to 442.34, 610.33 and 267.68

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Solution

The fourth proportional to 442.34, 610.33 and 267.68 is: 369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.34 : 610.33 = 267.68 : x
  2. Step 2: Convert to fraction form
    442.34/610.33 = 267.68/x
  3. Step 3: Cross multiply
    442.34x = 610.33 × 267.68
  4. Step 4: Simplify right side
    442.34x = 163,373.13
  5. Step 5: Solve for x
    x = 163,373.13/442.34
  6. Step 6: Final answer
    x = 369.34

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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.