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Finding the Fourth Proportional to 645.22, 967.35 and 320.82

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Solution

The fourth proportional to 645.22, 967.35 and 320.82 is: 480.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.22 : 967.35 = 320.82 : x
  2. Step 2: Convert to fraction form
    645.22/967.35 = 320.82/x
  3. Step 3: Cross multiply
    645.22x = 967.35 × 320.82
  4. Step 4: Simplify right side
    645.22x = 310,345.23
  5. Step 5: Solve for x
    x = 310,345.23/645.22
  6. Step 6: Final answer
    x = 480.99

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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.