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Finding the Fourth Proportional to 811.48, 1,217.22 and 263.70

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Solution

The fourth proportional to 811.48, 1,217.22 and 263.70 is: 395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.48 : 1,217.22 = 263.70 : x
  2. Step 2: Convert to fraction form
    811.48/1,217.22 = 263.70/x
  3. Step 3: Cross multiply
    811.48x = 1,217.22 × 263.70
  4. Step 4: Simplify right side
    811.48x = 320,980.91
  5. Step 5: Solve for x
    x = 320,980.91/811.48
  6. Step 6: Final answer
    x = 395.55

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