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Finding the Fourth Proportional to 263.64, 393 and 260.76

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Solution

The fourth proportional to 263.64, 393 and 260.76 is: 388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.64 : 393 = 260.76 : x
  2. Step 2: Convert to fraction form
    263.64/393 = 260.76/x
  3. Step 3: Cross multiply
    263.64x = 393 × 260.76
  4. Step 4: Simplify right side
    263.64x = 102,478.68
  5. Step 5: Solve for x
    x = 102,478.68/263.64
  6. Step 6: Final answer
    x = 388.71

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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.