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Finding the Fourth Proportional to 322.84, 484.80 and 320.32

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Solution

The fourth proportional to 322.84, 484.80 and 320.32 is: 481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.84 : 484.80 = 320.32 : x
  2. Step 2: Convert to fraction form
    322.84/484.80 = 320.32/x
  3. Step 3: Cross multiply
    322.84x = 484.80 × 320.32
  4. Step 4: Simplify right side
    322.84x = 155,291.14
  5. Step 5: Solve for x
    x = 155,291.14/322.84
  6. Step 6: Final answer
    x = 481.02

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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.