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Finding the Fourth Proportional to 442.68, 611.09 and 276.86

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Solution

The fourth proportional to 442.68, 611.09 and 276.86 is: 382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.68 : 611.09 = 276.86 : x
  2. Step 2: Convert to fraction form
    442.68/611.09 = 276.86/x
  3. Step 3: Cross multiply
    442.68x = 611.09 × 276.86
  4. Step 4: Simplify right side
    442.68x = 169,184.12
  5. Step 5: Solve for x
    x = 169,184.12/442.68
  6. Step 6: Final answer
    x = 382.18

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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.