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Finding the Fourth Proportional to 409.63, 565.29 and 235.09

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Solution

The fourth proportional to 409.63, 565.29 and 235.09 is: 324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 565.29 = 235.09 : x
  2. Step 2: Convert to fraction form
    409.63/565.29 = 235.09/x
  3. Step 3: Cross multiply
    409.63x = 565.29 × 235.09
  4. Step 4: Simplify right side
    409.63x = 132,890.02
  5. Step 5: Solve for x
    x = 132,890.02/409.63
  6. Step 6: Final answer
    x = 324.42

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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.