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Finding the Fourth Proportional to 811.81, 1,218.06 and 264.15

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Solution

The fourth proportional to 811.81, 1,218.06 and 264.15 is: 396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.81 : 1,218.06 = 264.15 : x
  2. Step 2: Convert to fraction form
    811.81/1,218.06 = 264.15/x
  3. Step 3: Cross multiply
    811.81x = 1,218.06 × 264.15
  4. Step 4: Simplify right side
    811.81x = 321,750.55
  5. Step 5: Solve for x
    x = 321,750.55/811.81
  6. Step 6: Final answer
    x = 396.34

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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.