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Finding the Fourth Proportional to 265.83, 396.44 and 233.48

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Solution

The fourth proportional to 265.83, 396.44 and 233.48 is: 348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.83 : 396.44 = 233.48 : x
  2. Step 2: Convert to fraction form
    265.83/396.44 = 233.48/x
  3. Step 3: Cross multiply
    265.83x = 396.44 × 233.48
  4. Step 4: Simplify right side
    265.83x = 92,562.82
  5. Step 5: Solve for x
    x = 92,562.82/265.83
  6. Step 6: Final answer
    x = 348.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.