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Finding the Fourth Proportional to 471.91, 650.72 and 409.19

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Solution

The fourth proportional to 471.91, 650.72 and 409.19 is: 564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.91 : 650.72 = 409.19 : x
  2. Step 2: Convert to fraction form
    471.91/650.72 = 409.19/x
  3. Step 3: Cross multiply
    471.91x = 650.72 × 409.19
  4. Step 4: Simplify right side
    471.91x = 266,268.12
  5. Step 5: Solve for x
    x = 266,268.12/471.91
  6. Step 6: Final answer
    x = 564.23

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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.