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Finding the Fourth Proportional to 645.69, 968.82 and 280.68

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Solution

The fourth proportional to 645.69, 968.82 and 280.68 is: 421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.69 : 968.82 = 280.68 : x
  2. Step 2: Convert to fraction form
    645.69/968.82 = 280.68/x
  3. Step 3: Cross multiply
    645.69x = 968.82 × 280.68
  4. Step 4: Simplify right side
    645.69x = 271,928.40
  5. Step 5: Solve for x
    x = 271,928.40/645.69
  6. Step 6: Final answer
    x = 421.14

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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.