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Finding the Fourth Proportional to 418.02, 575.50 and 329.34

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Solution

The fourth proportional to 418.02, 575.50 and 329.34 is: 453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.02 : 575.50 = 329.34 : x
  2. Step 2: Convert to fraction form
    418.02/575.50 = 329.34/x
  3. Step 3: Cross multiply
    418.02x = 575.50 × 329.34
  4. Step 4: Simplify right side
    418.02x = 189,535.17
  5. Step 5: Solve for x
    x = 189,535.17/418.02
  6. Step 6: Final answer
    x = 453.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.