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Finding the Fourth Proportional to 320.59, 480.75 and 115.12

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Solution

The fourth proportional to 320.59, 480.75 and 115.12 is: 172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.59 : 480.75 = 115.12 : x
  2. Step 2: Convert to fraction form
    320.59/480.75 = 115.12/x
  3. Step 3: Cross multiply
    320.59x = 480.75 × 115.12
  4. Step 4: Simplify right side
    320.59x = 55,343.94
  5. Step 5: Solve for x
    x = 55,343.94/320.59
  6. Step 6: Final answer
    x = 172.63

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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.