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Finding the Fourth Proportional to 442.13, 610.16 and 267.48

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Solution

The fourth proportional to 442.13, 610.16 and 267.48 is: 369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.13 : 610.16 = 267.48 : x
  2. Step 2: Convert to fraction form
    442.13/610.16 = 267.48/x
  3. Step 3: Cross multiply
    442.13x = 610.16 × 267.48
  4. Step 4: Simplify right side
    442.13x = 163,204.26
  5. Step 5: Solve for x
    x = 163,204.26/442.13
  6. Step 6: Final answer
    x = 369.14

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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.