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Finding the Fourth Proportional to 409.50, 564.98 and 251.96

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Solution

The fourth proportional to 409.50, 564.98 and 251.96 is: 347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 564.98 = 251.96 : x
  2. Step 2: Convert to fraction form
    409.50/564.98 = 251.96/x
  3. Step 3: Cross multiply
    409.50x = 564.98 × 251.96
  4. Step 4: Simplify right side
    409.50x = 142,352.36
  5. Step 5: Solve for x
    x = 142,352.36/409.50
  6. Step 6: Final answer
    x = 347.62

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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.