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Finding the Fourth Proportional to 544.68, 813.24 and 511.92

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Solution

The fourth proportional to 544.68, 813.24 and 511.92 is: 764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.68 : 813.24 = 511.92 : x
  2. Step 2: Convert to fraction form
    544.68/813.24 = 511.92/x
  3. Step 3: Cross multiply
    544.68x = 813.24 × 511.92
  4. Step 4: Simplify right side
    544.68x = 416,313.82
  5. Step 5: Solve for x
    x = 416,313.82/544.68
  6. Step 6: Final answer
    x = 764.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.