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Finding the Fourth Proportional to 463.20, 695.16 and 447.24

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Solution

The fourth proportional to 463.20, 695.16 and 447.24 is: 671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.20 : 695.16 = 447.24 : x
  2. Step 2: Convert to fraction form
    463.20/695.16 = 447.24/x
  3. Step 3: Cross multiply
    463.20x = 695.16 × 447.24
  4. Step 4: Simplify right side
    463.20x = 310,903.36
  5. Step 5: Solve for x
    x = 310,903.36/463.20
  6. Step 6: Final answer
    x = 671.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.