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Finding the Fourth Proportional to 544.82, 751.85 and 296.14

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Solution

The fourth proportional to 544.82, 751.85 and 296.14 is: 408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.82 : 751.85 = 296.14 : x
  2. Step 2: Convert to fraction form
    544.82/751.85 = 296.14/x
  3. Step 3: Cross multiply
    544.82x = 751.85 × 296.14
  4. Step 4: Simplify right side
    544.82x = 222,651.72
  5. Step 5: Solve for x
    x = 222,651.72/544.82
  6. Step 6: Final answer
    x = 408.67

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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.