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Finding the Fourth Proportional to 811.05, 1,216.64 and 263.24

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Solution

The fourth proportional to 811.05, 1,216.64 and 263.24 is: 394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.05 : 1,216.64 = 263.24 : x
  2. Step 2: Convert to fraction form
    811.05/1,216.64 = 263.24/x
  3. Step 3: Cross multiply
    811.05x = 1,216.64 × 263.24
  4. Step 4: Simplify right side
    811.05x = 320,272.01
  5. Step 5: Solve for x
    x = 320,272.01/811.05
  6. Step 6: Final answer
    x = 394.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.