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Finding the Fourth Proportional to 403.93, 605.12 and 321.81

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Solution

The fourth proportional to 403.93, 605.12 and 321.81 is: 482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.93 : 605.12 = 321.81 : x
  2. Step 2: Convert to fraction form
    403.93/605.12 = 321.81/x
  3. Step 3: Cross multiply
    403.93x = 605.12 × 321.81
  4. Step 4: Simplify right side
    403.93x = 194,733.67
  5. Step 5: Solve for x
    x = 194,733.67/403.93
  6. Step 6: Final answer
    x = 482.10

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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.