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Finding the Fourth Proportional to 442.20, 609.84 and 267.24

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Solution

The fourth proportional to 442.20, 609.84 and 267.24 is: 368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.20 : 609.84 = 267.24 : x
  2. Step 2: Convert to fraction form
    442.20/609.84 = 267.24/x
  3. Step 3: Cross multiply
    442.20x = 609.84 × 267.24
  4. Step 4: Simplify right side
    442.20x = 162,973.64
  5. Step 5: Solve for x
    x = 162,973.64/442.20
  6. Step 6: Final answer
    x = 368.55

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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.