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Finding the Fourth Proportional to 512.03, 709.83 and 484.31

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Solution

The fourth proportional to 512.03, 709.83 and 484.31 is: 671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.03 : 709.83 = 484.31 : x
  2. Step 2: Convert to fraction form
    512.03/709.83 = 484.31/x
  3. Step 3: Cross multiply
    512.03x = 709.83 × 484.31
  4. Step 4: Simplify right side
    512.03x = 343,777.77
  5. Step 5: Solve for x
    x = 343,777.77/512.03
  6. Step 6: Final answer
    x = 671.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.