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Finding the Fourth Proportional to 409.24, 564.77 and 234.58

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Solution

The fourth proportional to 409.24, 564.77 and 234.58 is: 323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.24 : 564.77 = 234.58 : x
  2. Step 2: Convert to fraction form
    409.24/564.77 = 234.58/x
  3. Step 3: Cross multiply
    409.24x = 564.77 × 234.58
  4. Step 4: Simplify right side
    409.24x = 132,483.75
  5. Step 5: Solve for x
    x = 132,483.75/409.24
  6. Step 6: Final answer
    x = 323.73

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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.