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Finding the Fourth Proportional to 511.86, 769.64 and 471.77

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Solution

The fourth proportional to 511.86, 769.64 and 471.77 is: 709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.86 : 769.64 = 471.77 : x
  2. Step 2: Convert to fraction form
    511.86/769.64 = 471.77/x
  3. Step 3: Cross multiply
    511.86x = 769.64 × 471.77
  4. Step 4: Simplify right side
    511.86x = 363,093.06
  5. Step 5: Solve for x
    x = 363,093.06/511.86
  6. Step 6: Final answer
    x = 709.36

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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.