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Finding the Fourth Proportional to 320.19, 480.41 and 204.59

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Solution

The fourth proportional to 320.19, 480.41 and 204.59 is: 306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.19 : 480.41 = 204.59 : x
  2. Step 2: Convert to fraction form
    320.19/480.41 = 204.59/x
  3. Step 3: Cross multiply
    320.19x = 480.41 × 204.59
  4. Step 4: Simplify right side
    320.19x = 98,289.18
  5. Step 5: Solve for x
    x = 98,289.18/320.19
  6. Step 6: Final answer
    x = 306.98

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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.