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Finding the Fourth Proportional to 403.99, 557.69 and 238.34

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Solution

The fourth proportional to 403.99, 557.69 and 238.34 is: 329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.99 : 557.69 = 238.34 : x
  2. Step 2: Convert to fraction form
    403.99/557.69 = 238.34/x
  3. Step 3: Cross multiply
    403.99x = 557.69 × 238.34
  4. Step 4: Simplify right side
    403.99x = 132,920.04
  5. Step 5: Solve for x
    x = 132,920.04/403.99
  6. Step 6: Final answer
    x = 329.02

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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.