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Finding the Fourth Proportional to 289.82, 434.64 and 255.62

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Solution

The fourth proportional to 289.82, 434.64 and 255.62 is: 383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.82 : 434.64 = 255.62 : x
  2. Step 2: Convert to fraction form
    289.82/434.64 = 255.62/x
  3. Step 3: Cross multiply
    289.82x = 434.64 × 255.62
  4. Step 4: Simplify right side
    289.82x = 111,102.68
  5. Step 5: Solve for x
    x = 111,102.68/289.82
  6. Step 6: Final answer
    x = 383.35

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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.