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Finding the Fourth Proportional to 321.76, 482.57 and 90.66

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Solution

The fourth proportional to 321.76, 482.57 and 90.66 is: 135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.76 : 482.57 = 90.66 : x
  2. Step 2: Convert to fraction form
    321.76/482.57 = 90.66/x
  3. Step 3: Cross multiply
    321.76x = 482.57 × 90.66
  4. Step 4: Simplify right side
    321.76x = 43,749.80
  5. Step 5: Solve for x
    x = 43,749.80/321.76
  6. Step 6: Final answer
    x = 135.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.