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Finding the Fourth Proportional to 645.33, 966.57 and 440.28

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Solution

The fourth proportional to 645.33, 966.57 and 440.28 is: 659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.33 : 966.57 = 440.28 : x
  2. Step 2: Convert to fraction form
    645.33/966.57 = 440.28/x
  3. Step 3: Cross multiply
    645.33x = 966.57 × 440.28
  4. Step 4: Simplify right side
    645.33x = 425,561.44
  5. Step 5: Solve for x
    x = 425,561.44/645.33
  6. Step 6: Final answer
    x = 659.45

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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.