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Finding the Fourth Proportional to 471.14, 650.14 and 264.14

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Solution

The fourth proportional to 471.14, 650.14 and 264.14 is: 364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.14 : 650.14 = 264.14 : x
  2. Step 2: Convert to fraction form
    471.14/650.14 = 264.14/x
  3. Step 3: Cross multiply
    471.14x = 650.14 × 264.14
  4. Step 4: Simplify right side
    471.14x = 171,727.98
  5. Step 5: Solve for x
    x = 171,727.98/471.14
  6. Step 6: Final answer
    x = 364.49

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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.