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Finding the Fourth Proportional to 645.63, 968.07 and 280.23

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Solution

The fourth proportional to 645.63, 968.07 and 280.23 is: 420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.63 : 968.07 = 280.23 : x
  2. Step 2: Convert to fraction form
    645.63/968.07 = 280.23/x
  3. Step 3: Cross multiply
    645.63x = 968.07 × 280.23
  4. Step 4: Simplify right side
    645.63x = 271,282.26
  5. Step 5: Solve for x
    x = 271,282.26/645.63
  6. Step 6: Final answer
    x = 420.18

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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.