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Finding the Fourth Proportional to 512.63, 705.80 and 447.11

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Solution

The fourth proportional to 512.63, 705.80 and 447.11 is: 615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.63 : 705.80 = 447.11 : x
  2. Step 2: Convert to fraction form
    512.63/705.80 = 447.11/x
  3. Step 3: Cross multiply
    512.63x = 705.80 × 447.11
  4. Step 4: Simplify right side
    512.63x = 315,567.96
  5. Step 5: Solve for x
    x = 315,567.96/512.63
  6. Step 6: Final answer
    x = 615.59

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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.