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Finding the Fourth Proportional to 409.86, 565.54 and 232.83

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Solution

The fourth proportional to 409.86, 565.54 and 232.83 is: 321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.86 : 565.54 = 232.83 : x
  2. Step 2: Convert to fraction form
    409.86/565.54 = 232.83/x
  3. Step 3: Cross multiply
    409.86x = 565.54 × 232.83
  4. Step 4: Simplify right side
    409.86x = 131,674.10
  5. Step 5: Solve for x
    x = 131,674.10/409.86
  6. Step 6: Final answer
    x = 321.27

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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.