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Finding the Fourth Proportional to 442.42, 610.54 and 267.76

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Solution

The fourth proportional to 442.42, 610.54 and 267.76 is: 369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.42 : 610.54 = 267.76 : x
  2. Step 2: Convert to fraction form
    442.42/610.54 = 267.76/x
  3. Step 3: Cross multiply
    442.42x = 610.54 × 267.76
  4. Step 4: Simplify right side
    442.42x = 163,478.19
  5. Step 5: Solve for x
    x = 163,478.19/442.42
  6. Step 6: Final answer
    x = 369.51

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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.