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Finding the Fourth Proportional to 471.76, 651.24 and 447.52

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Solution

The fourth proportional to 471.76, 651.24 and 447.52 is: 617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.76 : 651.24 = 447.52 : x
  2. Step 2: Convert to fraction form
    471.76/651.24 = 447.52/x
  3. Step 3: Cross multiply
    471.76x = 651.24 × 447.52
  4. Step 4: Simplify right side
    471.76x = 291,442.92
  5. Step 5: Solve for x
    x = 291,442.92/471.76
  6. Step 6: Final answer
    x = 617.78

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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.