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Finding the Fourth Proportional to 403.68, 603.84 and 322.68

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Solution

The fourth proportional to 403.68, 603.84 and 322.68 is: 482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.68 : 603.84 = 322.68 : x
  2. Step 2: Convert to fraction form
    403.68/603.84 = 322.68/x
  3. Step 3: Cross multiply
    403.68x = 603.84 × 322.68
  4. Step 4: Simplify right side
    403.68x = 194,847.09
  5. Step 5: Solve for x
    x = 194,847.09/403.68
  6. Step 6: Final answer
    x = 482.68

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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.