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Finding the Fourth Proportional to 321.67, 482.43 and 90.57

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Solution

The fourth proportional to 321.67, 482.43 and 90.57 is: 135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.67 : 482.43 = 90.57 : x
  2. Step 2: Convert to fraction form
    321.67/482.43 = 90.57/x
  3. Step 3: Cross multiply
    321.67x = 482.43 × 90.57
  4. Step 4: Simplify right side
    321.67x = 43,693.69
  5. Step 5: Solve for x
    x = 43,693.69/321.67
  6. Step 6: Final answer
    x = 135.83

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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.