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Finding the Fourth Proportional to 409.15, 564.68 and 234.50

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Solution

The fourth proportional to 409.15, 564.68 and 234.50 is: 323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.15 : 564.68 = 234.50 : x
  2. Step 2: Convert to fraction form
    409.15/564.68 = 234.50/x
  3. Step 3: Cross multiply
    409.15x = 564.68 × 234.50
  4. Step 4: Simplify right side
    409.15x = 132,416.29
  5. Step 5: Solve for x
    x = 132,416.29/409.15
  6. Step 6: Final answer
    x = 323.64

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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.