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Finding the Fourth Proportional to 810.70, 1,216.24 and 262.88

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Solution

The fourth proportional to 810.70, 1,216.24 and 262.88 is: 394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.70 : 1,216.24 = 262.88 : x
  2. Step 2: Convert to fraction form
    810.70/1,216.24 = 262.88/x
  3. Step 3: Cross multiply
    810.70x = 1,216.24 × 262.88
  4. Step 4: Simplify right side
    810.70x = 319,728.87
  5. Step 5: Solve for x
    x = 319,728.87/810.70
  6. Step 6: Final answer
    x = 394.39

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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.