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Finding the Fourth Proportional to 409.71, 565.41 and 232.64

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Solution

The fourth proportional to 409.71, 565.41 and 232.64 is: 321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.71 : 565.41 = 232.64 : x
  2. Step 2: Convert to fraction form
    409.71/565.41 = 232.64/x
  3. Step 3: Cross multiply
    409.71x = 565.41 × 232.64
  4. Step 4: Simplify right side
    409.71x = 131,536.98
  5. Step 5: Solve for x
    x = 131,536.98/409.71
  6. Step 6: Final answer
    x = 321.05

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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.