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Finding the Fourth Proportional to 511.86, 765.78 and 447.60

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Solution

The fourth proportional to 511.86, 765.78 and 447.60 is: 669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.86 : 765.78 = 447.60 : x
  2. Step 2: Convert to fraction form
    511.86/765.78 = 447.60/x
  3. Step 3: Cross multiply
    511.86x = 765.78 × 447.60
  4. Step 4: Simplify right side
    511.86x = 342,763.13
  5. Step 5: Solve for x
    x = 342,763.13/511.86
  6. Step 6: Final answer
    x = 669.64

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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.