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Finding the Fourth Proportional to 354.09, 529.67 and 322.05

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Solution

The fourth proportional to 354.09, 529.67 and 322.05 is: 481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.09 : 529.67 = 322.05 : x
  2. Step 2: Convert to fraction form
    354.09/529.67 = 322.05/x
  3. Step 3: Cross multiply
    354.09x = 529.67 × 322.05
  4. Step 4: Simplify right side
    354.09x = 170,578.61
  5. Step 5: Solve for x
    x = 170,578.61/354.09
  6. Step 6: Final answer
    x = 481.74

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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.