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Finding the Fourth Proportional to 293.36, 442.11 and 275.12

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Solution

The fourth proportional to 293.36, 442.11 and 275.12 is: 414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.36 : 442.11 = 275.12 : x
  2. Step 2: Convert to fraction form
    293.36/442.11 = 275.12/x
  3. Step 3: Cross multiply
    293.36x = 442.11 × 275.12
  4. Step 4: Simplify right side
    293.36x = 121,633.30
  5. Step 5: Solve for x
    x = 121,633.30/293.36
  6. Step 6: Final answer
    x = 414.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.