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Finding the Fourth Proportional to 322.20, 483.60 and 276.60

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Solution

The fourth proportional to 322.20, 483.60 and 276.60 is: 415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.20 : 483.60 = 276.60 : x
  2. Step 2: Convert to fraction form
    322.20/483.60 = 276.60/x
  3. Step 3: Cross multiply
    322.20x = 483.60 × 276.60
  4. Step 4: Simplify right side
    322.20x = 133,763.76
  5. Step 5: Solve for x
    x = 133,763.76/322.20
  6. Step 6: Final answer
    x = 415.16

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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.