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Finding the Fourth Proportional to 544.42, 815.57 and 486.41

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Solution

The fourth proportional to 544.42, 815.57 and 486.41 is: 728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.42 : 815.57 = 486.41 : x
  2. Step 2: Convert to fraction form
    544.42/815.57 = 486.41/x
  3. Step 3: Cross multiply
    544.42x = 815.57 × 486.41
  4. Step 4: Simplify right side
    544.42x = 396,696.72
  5. Step 5: Solve for x
    x = 396,696.72/544.42
  6. Step 6: Final answer
    x = 728.66

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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.