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Finding the Fourth Proportional to 544.26, 749.56 and 505.99

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Solution

The fourth proportional to 544.26, 749.56 and 505.99 is: 696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.26 : 749.56 = 505.99 : x
  2. Step 2: Convert to fraction form
    544.26/749.56 = 505.99/x
  3. Step 3: Cross multiply
    544.26x = 749.56 × 505.99
  4. Step 4: Simplify right side
    544.26x = 379,269.86
  5. Step 5: Solve for x
    x = 379,269.86/544.26
  6. Step 6: Final answer
    x = 696.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.