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Finding the Fourth Proportional to 442.19, 610.26 and 267.50

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Solution

The fourth proportional to 442.19, 610.26 and 267.50 is: 369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.19 : 610.26 = 267.50 : x
  2. Step 2: Convert to fraction form
    442.19/610.26 = 267.50/x
  3. Step 3: Cross multiply
    442.19x = 610.26 × 267.50
  4. Step 4: Simplify right side
    442.19x = 163,244.55
  5. Step 5: Solve for x
    x = 163,244.55/442.19
  6. Step 6: Final answer
    x = 369.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.