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Finding the Fourth Proportional to 322.07, 480.74 and 299.52

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Solution

The fourth proportional to 322.07, 480.74 and 299.52 is: 447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.07 : 480.74 = 299.52 : x
  2. Step 2: Convert to fraction form
    322.07/480.74 = 299.52/x
  3. Step 3: Cross multiply
    322.07x = 480.74 × 299.52
  4. Step 4: Simplify right side
    322.07x = 143,989.75
  5. Step 5: Solve for x
    x = 143,989.75/322.07
  6. Step 6: Final answer
    x = 447.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.