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Finding the Fourth Proportional to 403.80, 557.24 and 229.13

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Solution

The fourth proportional to 403.80, 557.24 and 229.13 is: 316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 557.24 = 229.13 : x
  2. Step 2: Convert to fraction form
    403.80/557.24 = 229.13/x
  3. Step 3: Cross multiply
    403.80x = 557.24 × 229.13
  4. Step 4: Simplify right side
    403.80x = 127,676.47
  5. Step 5: Solve for x
    x = 127,676.47/403.80
  6. Step 6: Final answer
    x = 316.19

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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.