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Finding the Fourth Proportional to 403.84, 557.46 and 323.92

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Solution

The fourth proportional to 403.84, 557.46 and 323.92 is: 447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.84 : 557.46 = 323.92 : x
  2. Step 2: Convert to fraction form
    403.84/557.46 = 323.92/x
  3. Step 3: Cross multiply
    403.84x = 557.46 × 323.92
  4. Step 4: Simplify right side
    403.84x = 180,572.44
  5. Step 5: Solve for x
    x = 180,572.44/403.84
  6. Step 6: Final answer
    x = 447.14

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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.