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Finding the Fourth Proportional to 544.13, 750.96 and 311.25

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Solution

The fourth proportional to 544.13, 750.96 and 311.25 is: 429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.13 : 750.96 = 311.25 : x
  2. Step 2: Convert to fraction form
    544.13/750.96 = 311.25/x
  3. Step 3: Cross multiply
    544.13x = 750.96 × 311.25
  4. Step 4: Simplify right side
    544.13x = 233,736.30
  5. Step 5: Solve for x
    x = 233,736.30/544.13
  6. Step 6: Final answer
    x = 429.56

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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.