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Finding the Fourth Proportional to 811.48, 1,217.24 and 263.64

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Solution

The fourth proportional to 811.48, 1,217.24 and 263.64 is: 395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.48 : 1,217.24 = 263.64 : x
  2. Step 2: Convert to fraction form
    811.48/1,217.24 = 263.64/x
  3. Step 3: Cross multiply
    811.48x = 1,217.24 × 263.64
  4. Step 4: Simplify right side
    811.48x = 320,913.15
  5. Step 5: Solve for x
    x = 320,913.15/811.48
  6. Step 6: Final answer
    x = 395.47

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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.