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Finding the Fourth Proportional to 442.65, 610.65 and 267.96

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Solution

The fourth proportional to 442.65, 610.65 and 267.96 is: 369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.65 : 610.65 = 267.96 : x
  2. Step 2: Convert to fraction form
    442.65/610.65 = 267.96/x
  3. Step 3: Cross multiply
    442.65x = 610.65 × 267.96
  4. Step 4: Simplify right side
    442.65x = 163,629.77
  5. Step 5: Solve for x
    x = 163,629.77/442.65
  6. Step 6: Final answer
    x = 369.66

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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.