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Finding the Fourth Proportional to 409.68, 565.40 and 235.06

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Solution

The fourth proportional to 409.68, 565.40 and 235.06 is: 324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.68 : 565.40 = 235.06 : x
  2. Step 2: Convert to fraction form
    409.68/565.40 = 235.06/x
  3. Step 3: Cross multiply
    409.68x = 565.40 × 235.06
  4. Step 4: Simplify right side
    409.68x = 132,902.92
  5. Step 5: Solve for x
    x = 132,902.92/409.68
  6. Step 6: Final answer
    x = 324.41

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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.