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Finding the Fourth Proportional to 442.76, 611.02 and 268.12

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Solution

The fourth proportional to 442.76, 611.02 and 268.12 is: 370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.76 : 611.02 = 268.12 : x
  2. Step 2: Convert to fraction form
    442.76/611.02 = 268.12/x
  3. Step 3: Cross multiply
    442.76x = 611.02 × 268.12
  4. Step 4: Simplify right side
    442.76x = 163,826.68
  5. Step 5: Solve for x
    x = 163,826.68/442.76
  6. Step 6: Final answer
    x = 370.01

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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.