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Finding the Fourth Proportional to 321.58, 481.61 and 315.06

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Solution

The fourth proportional to 321.58, 481.61 and 315.06 is: 471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.58 : 481.61 = 315.06 : x
  2. Step 2: Convert to fraction form
    321.58/481.61 = 315.06/x
  3. Step 3: Cross multiply
    321.58x = 481.61 × 315.06
  4. Step 4: Simplify right side
    321.58x = 151,735.03
  5. Step 5: Solve for x
    x = 151,735.03/321.58
  6. Step 6: Final answer
    x = 471.84

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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.