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Finding the Fourth Proportional to 409.29, 613.32 and 322.83

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Solution

The fourth proportional to 409.29, 613.32 and 322.83 is: 483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.29 : 613.32 = 322.83 : x
  2. Step 2: Convert to fraction form
    409.29/613.32 = 322.83/x
  3. Step 3: Cross multiply
    409.29x = 613.32 × 322.83
  4. Step 4: Simplify right side
    409.29x = 197,998.10
  5. Step 5: Solve for x
    x = 197,998.10/409.29
  6. Step 6: Final answer
    x = 483.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.