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Finding the Fourth Proportional to 544.87, 751.84 and 320.82

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Solution

The fourth proportional to 544.87, 751.84 and 320.82 is: 442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.87 : 751.84 = 320.82 : x
  2. Step 2: Convert to fraction form
    544.87/751.84 = 320.82/x
  3. Step 3: Cross multiply
    544.87x = 751.84 × 320.82
  4. Step 4: Simplify right side
    544.87x = 241,205.31
  5. Step 5: Solve for x
    x = 241,205.31/544.87
  6. Step 6: Final answer
    x = 442.68

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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.