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Finding the Fourth Proportional to 544.40, 816.92 and 255.68

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Solution

The fourth proportional to 544.40, 816.92 and 255.68 is: 383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.40 : 816.92 = 255.68 : x
  2. Step 2: Convert to fraction form
    544.40/816.92 = 255.68/x
  3. Step 3: Cross multiply
    544.40x = 816.92 × 255.68
  4. Step 4: Simplify right side
    544.40x = 208,870.11
  5. Step 5: Solve for x
    x = 208,870.11/544.40
  6. Step 6: Final answer
    x = 383.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.