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Finding the Fourth Proportional to 544, 750.72 and 323.08

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Solution

The fourth proportional to 544, 750.72 and 323.08 is: 445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    544 : 750.72 = 323.08 : x
  2. Step 2: Convert to fraction form
    544/750.72 = 323.08/x
  3. Step 3: Cross multiply
    544x = 750.72 × 323.08
  4. Step 4: Simplify right side
    544x = 242,542.62
  5. Step 5: Solve for x
    x = 242,542.62/544
  6. Step 6: Final answer
    x = 445.85

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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.