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Finding the Fourth Proportional to 409.47, 564.94 and 232.42

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Solution

The fourth proportional to 409.47, 564.94 and 232.42 is: 320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.47 : 564.94 = 232.42 : x
  2. Step 2: Convert to fraction form
    409.47/564.94 = 232.42/x
  3. Step 3: Cross multiply
    409.47x = 564.94 × 232.42
  4. Step 4: Simplify right side
    409.47x = 131,305.68
  5. Step 5: Solve for x
    x = 131,305.68/409.47
  6. Step 6: Final answer
    x = 320.67

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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.