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Finding the Fourth Proportional to 645.94, 968.64 and 320.86

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Solution

The fourth proportional to 645.94, 968.64 and 320.86 is: 481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.94 : 968.64 = 320.86 : x
  2. Step 2: Convert to fraction form
    645.94/968.64 = 320.86/x
  3. Step 3: Cross multiply
    645.94x = 968.64 × 320.86
  4. Step 4: Simplify right side
    645.94x = 310,797.83
  5. Step 5: Solve for x
    x = 310,797.83/645.94
  6. Step 6: Final answer
    x = 481.16

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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.