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Finding the Fourth Proportional to 403.82, 557.24 and 229.12

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Solution

The fourth proportional to 403.82, 557.24 and 229.12 is: 316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.82 : 557.24 = 229.12 : x
  2. Step 2: Convert to fraction form
    403.82/557.24 = 229.12/x
  3. Step 3: Cross multiply
    403.82x = 557.24 × 229.12
  4. Step 4: Simplify right side
    403.82x = 127,674.83
  5. Step 5: Solve for x
    x = 127,674.83/403.82
  6. Step 6: Final answer
    x = 316.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.