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Finding the Fourth Proportional to 263.72, 360.76 and 262.64

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Solution

The fourth proportional to 263.72, 360.76 and 262.64 is: 359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.72 : 360.76 = 262.64 : x
  2. Step 2: Convert to fraction form
    263.72/360.76 = 262.64/x
  3. Step 3: Cross multiply
    263.72x = 360.76 × 262.64
  4. Step 4: Simplify right side
    263.72x = 94,750.01
  5. Step 5: Solve for x
    x = 94,750.01/263.72
  6. Step 6: Final answer
    x = 359.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.