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Finding the Fourth Proportional to 443.07, 663.30 and 328.04

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Solution

The fourth proportional to 443.07, 663.30 and 328.04 is: 491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.07 : 663.30 = 328.04 : x
  2. Step 2: Convert to fraction form
    443.07/663.30 = 328.04/x
  3. Step 3: Cross multiply
    443.07x = 663.30 × 328.04
  4. Step 4: Simplify right side
    443.07x = 217,588.93
  5. Step 5: Solve for x
    x = 217,588.93/443.07
  6. Step 6: Final answer
    x = 491.09

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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.