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Finding the Fourth Proportional to 321.99, 482.95 and 276.42

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Solution

The fourth proportional to 321.99, 482.95 and 276.42 is: 414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.99 : 482.95 = 276.42 : x
  2. Step 2: Convert to fraction form
    321.99/482.95 = 276.42/x
  3. Step 3: Cross multiply
    321.99x = 482.95 × 276.42
  4. Step 4: Simplify right side
    321.99x = 133,497.04
  5. Step 5: Solve for x
    x = 133,497.04/321.99
  6. Step 6: Final answer
    x = 414.60

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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.