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Finding the Fourth Proportional to 403.78, 557.19 and 229.11

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Solution

The fourth proportional to 403.78, 557.19 and 229.11 is: 316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.78 : 557.19 = 229.11 : x
  2. Step 2: Convert to fraction form
    403.78/557.19 = 229.11/x
  3. Step 3: Cross multiply
    403.78x = 557.19 × 229.11
  4. Step 4: Simplify right side
    403.78x = 127,657.80
  5. Step 5: Solve for x
    x = 127,657.80/403.78
  6. Step 6: Final answer
    x = 316.16

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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.