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Finding the Fourth Proportional to 544.24, 751.10 and 311.44

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Solution

The fourth proportional to 544.24, 751.10 and 311.44 is: 429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.24 : 751.10 = 311.44 : x
  2. Step 2: Convert to fraction form
    544.24/751.10 = 311.44/x
  3. Step 3: Cross multiply
    544.24x = 751.10 × 311.44
  4. Step 4: Simplify right side
    544.24x = 233,922.58
  5. Step 5: Solve for x
    x = 233,922.58/544.24
  6. Step 6: Final answer
    x = 429.82

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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.