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Finding the Fourth Proportional to 263.94, 392.56 and 261.06

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Solution

The fourth proportional to 263.94, 392.56 and 261.06 is: 388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.94 : 392.56 = 261.06 : x
  2. Step 2: Convert to fraction form
    263.94/392.56 = 261.06/x
  3. Step 3: Cross multiply
    263.94x = 392.56 × 261.06
  4. Step 4: Simplify right side
    263.94x = 102,481.71
  5. Step 5: Solve for x
    x = 102,481.71/263.94
  6. Step 6: Final answer
    x = 388.28

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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.