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Finding the Fourth Proportional to 645.71, 968.07 and 320.83

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Solution

The fourth proportional to 645.71, 968.07 and 320.83 is: 480.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.71 : 968.07 = 320.83 : x
  2. Step 2: Convert to fraction form
    645.71/968.07 = 320.83/x
  3. Step 3: Cross multiply
    645.71x = 968.07 × 320.83
  4. Step 4: Simplify right side
    645.71x = 310,579.45
  5. Step 5: Solve for x
    x = 310,579.45/645.71
  6. Step 6: Final answer
    x = 480.99

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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.