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Finding the Fourth Proportional to 402.65, 603.51 and 329.65

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Solution

The fourth proportional to 402.65, 603.51 and 329.65 is: 494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.65 : 603.51 = 329.65 : x
  2. Step 2: Convert to fraction form
    402.65/603.51 = 329.65/x
  3. Step 3: Cross multiply
    402.65x = 603.51 × 329.65
  4. Step 4: Simplify right side
    402.65x = 198,948.24
  5. Step 5: Solve for x
    x = 198,948.24/402.65
  6. Step 6: Final answer
    x = 494.09

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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.