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Finding the Fourth Proportional to 409.70, 565.37 and 235.14

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Solution

The fourth proportional to 409.70, 565.37 and 235.14 is: 324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.70 : 565.37 = 235.14 : x
  2. Step 2: Convert to fraction form
    409.70/565.37 = 235.14/x
  3. Step 3: Cross multiply
    409.70x = 565.37 × 235.14
  4. Step 4: Simplify right side
    409.70x = 132,939.93
  5. Step 5: Solve for x
    x = 132,939.93/409.70
  6. Step 6: Final answer
    x = 324.49

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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.