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Finding the Fourth Proportional to 812.10, 1,218.24 and 264.30

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Solution

The fourth proportional to 812.10, 1,218.24 and 264.30 is: 396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.10 : 1,218.24 = 264.30 : x
  2. Step 2: Convert to fraction form
    812.10/1,218.24 = 264.30/x
  3. Step 3: Cross multiply
    812.10x = 1,218.24 × 264.30
  4. Step 4: Simplify right side
    812.10x = 321,980.83
  5. Step 5: Solve for x
    x = 321,980.83/812.10
  6. Step 6: Final answer
    x = 396.48

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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.