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Finding the Fourth Proportional to 544.29, 751.19 and 311.46

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Solution

The fourth proportional to 544.29, 751.19 and 311.46 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.29 : 751.19 = 311.46 : x
  2. Step 2: Convert to fraction form
    544.29/751.19 = 311.46/x
  3. Step 3: Cross multiply
    544.29x = 751.19 × 311.46
  4. Step 4: Simplify right side
    544.29x = 233,964.08
  5. Step 5: Solve for x
    x = 233,964.08/544.29
  6. Step 6: Final answer
    x = 429.85

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