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Finding the Fourth Proportional to 471.09, 650.17 and 264.13

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Solution

The fourth proportional to 471.09, 650.17 and 264.13 is: 364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.09 : 650.17 = 264.13 : x
  2. Step 2: Convert to fraction form
    471.09/650.17 = 264.13/x
  3. Step 3: Cross multiply
    471.09x = 650.17 × 264.13
  4. Step 4: Simplify right side
    471.09x = 171,728.08
  5. Step 5: Solve for x
    x = 171,728.08/471.09
  6. Step 6: Final answer
    x = 364.53

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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.