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Finding the Fourth Proportional to 403.82, 557.27 and 229.16

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Solution

The fourth proportional to 403.82, 557.27 and 229.16 is: 316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.82 : 557.27 = 229.16 : x
  2. Step 2: Convert to fraction form
    403.82/557.27 = 229.16/x
  3. Step 3: Cross multiply
    403.82x = 557.27 × 229.16
  4. Step 4: Simplify right side
    403.82x = 127,701.78
  5. Step 5: Solve for x
    x = 127,701.78/403.82
  6. Step 6: Final answer
    x = 316.24

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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.