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Finding the Fourth Proportional to 471.54, 650.30 and 409.34

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Solution

The fourth proportional to 471.54, 650.30 and 409.34 is: 564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.54 : 650.30 = 409.34 : x
  2. Step 2: Convert to fraction form
    471.54/650.30 = 409.34/x
  3. Step 3: Cross multiply
    471.54x = 650.30 × 409.34
  4. Step 4: Simplify right side
    471.54x = 266,193.80
  5. Step 5: Solve for x
    x = 266,193.80/471.54
  6. Step 6: Final answer
    x = 564.52

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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.