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Finding the Fourth Proportional to 410.48, 617.15 and 329.89

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Solution

The fourth proportional to 410.48, 617.15 and 329.89 is: 495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.48 : 617.15 = 329.89 : x
  2. Step 2: Convert to fraction form
    410.48/617.15 = 329.89/x
  3. Step 3: Cross multiply
    410.48x = 617.15 × 329.89
  4. Step 4: Simplify right side
    410.48x = 203,588.42
  5. Step 5: Solve for x
    x = 203,588.42/410.48
  6. Step 6: Final answer
    x = 495.97

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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.