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Finding the Fourth Proportional to 810.91, 1,216.09 and 262.96

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Solution

The fourth proportional to 810.91, 1,216.09 and 262.96 is: 394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.91 : 1,216.09 = 262.96 : x
  2. Step 2: Convert to fraction form
    810.91/1,216.09 = 262.96/x
  3. Step 3: Cross multiply
    810.91x = 1,216.09 × 262.96
  4. Step 4: Simplify right side
    810.91x = 319,780.31
  5. Step 5: Solve for x
    x = 319,780.31/810.91
  6. Step 6: Final answer
    x = 394.35

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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.