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Finding the Fourth Proportional to 265.33, 395.39 and 256.63

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Solution

The fourth proportional to 265.33, 395.39 and 256.63 is: 382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.33 : 395.39 = 256.63 : x
  2. Step 2: Convert to fraction form
    265.33/395.39 = 256.63/x
  3. Step 3: Cross multiply
    265.33x = 395.39 × 256.63
  4. Step 4: Simplify right side
    265.33x = 101,468.94
  5. Step 5: Solve for x
    x = 101,468.94/265.33
  6. Step 6: Final answer
    x = 382.43

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