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Finding the Fourth Proportional to 645.69, 967.59 and 320.41

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Solution

The fourth proportional to 645.69, 967.59 and 320.41 is: 480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.69 : 967.59 = 320.41 : x
  2. Step 2: Convert to fraction form
    645.69/967.59 = 320.41/x
  3. Step 3: Cross multiply
    645.69x = 967.59 × 320.41
  4. Step 4: Simplify right side
    645.69x = 310,023.09
  5. Step 5: Solve for x
    x = 310,023.09/645.69
  6. Step 6: Final answer
    x = 480.14

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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.