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Finding the Fourth Proportional to 645.57, 967.68 and 320.22

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Solution

The fourth proportional to 645.57, 967.68 and 320.22 is: 480.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.57 : 967.68 = 320.22 : x
  2. Step 2: Convert to fraction form
    645.57/967.68 = 320.22/x
  3. Step 3: Cross multiply
    645.57x = 967.68 × 320.22
  4. Step 4: Simplify right side
    645.57x = 309,870.49
  5. Step 5: Solve for x
    x = 309,870.49/645.57
  6. Step 6: Final answer
    x = 480.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.