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Finding the Fourth Proportional to 471.24, 650.36 and 264.24

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Solution

The fourth proportional to 471.24, 650.36 and 264.24 is: 364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.24 : 650.36 = 264.24 : x
  2. Step 2: Convert to fraction form
    471.24/650.36 = 264.24/x
  3. Step 3: Cross multiply
    471.24x = 650.36 × 264.24
  4. Step 4: Simplify right side
    471.24x = 171,851.13
  5. Step 5: Solve for x
    x = 171,851.13/471.24
  6. Step 6: Final answer
    x = 364.68

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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.