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Finding the Fourth Proportional to 471.28, 650.36 and 264.28

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Solution

The fourth proportional to 471.28, 650.36 and 264.28 is: 364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.28 : 650.36 = 264.28 : x
  2. Step 2: Convert to fraction form
    471.28/650.36 = 264.28/x
  3. Step 3: Cross multiply
    471.28x = 650.36 × 264.28
  4. Step 4: Simplify right side
    471.28x = 171,877.14
  5. Step 5: Solve for x
    x = 171,877.14/471.28
  6. Step 6: Final answer
    x = 364.70

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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.