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Finding the Fourth Proportional to 365.89, 546.01 and 326.95

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Solution

The fourth proportional to 365.89, 546.01 and 326.95 is: 487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.89 : 546.01 = 326.95 : x
  2. Step 2: Convert to fraction form
    365.89/546.01 = 326.95/x
  3. Step 3: Cross multiply
    365.89x = 546.01 × 326.95
  4. Step 4: Simplify right side
    365.89x = 178,518.86
  5. Step 5: Solve for x
    x = 178,518.86/365.89
  6. Step 6: Final answer
    x = 487.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.