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Finding the Fourth Proportional to 442.35, 610.52 and 267.78

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Solution

The fourth proportional to 442.35, 610.52 and 267.78 is: 369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.35 : 610.52 = 267.78 : x
  2. Step 2: Convert to fraction form
    442.35/610.52 = 267.78/x
  3. Step 3: Cross multiply
    442.35x = 610.52 × 267.78
  4. Step 4: Simplify right side
    442.35x = 163,483.71
  5. Step 5: Solve for x
    x = 163,483.71/442.35
  6. Step 6: Final answer
    x = 369.58

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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.