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Finding the Fourth Proportional to 370.28, 554.45 and 323.80

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Solution

The fourth proportional to 370.28, 554.45 and 323.80 is: 484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.28 : 554.45 = 323.80 : x
  2. Step 2: Convert to fraction form
    370.28/554.45 = 323.80/x
  3. Step 3: Cross multiply
    370.28x = 554.45 × 323.80
  4. Step 4: Simplify right side
    370.28x = 179,530.91
  5. Step 5: Solve for x
    x = 179,530.91/370.28
  6. Step 6: Final answer
    x = 484.85

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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.