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Finding the Fourth Proportional to 409.86, 565.59 and 232.89

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Solution

The fourth proportional to 409.86, 565.59 and 232.89 is: 321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.86 : 565.59 = 232.89 : x
  2. Step 2: Convert to fraction form
    409.86/565.59 = 232.89/x
  3. Step 3: Cross multiply
    409.86x = 565.59 × 232.89
  4. Step 4: Simplify right side
    409.86x = 131,720.26
  5. Step 5: Solve for x
    x = 131,720.26/409.86
  6. Step 6: Final answer
    x = 321.38

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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.