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Finding the Fourth Proportional to 511.85, 704.57 and 364.25

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Solution

The fourth proportional to 511.85, 704.57 and 364.25 is: 501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.85 : 704.57 = 364.25 : x
  2. Step 2: Convert to fraction form
    511.85/704.57 = 364.25/x
  3. Step 3: Cross multiply
    511.85x = 704.57 × 364.25
  4. Step 4: Simplify right side
    511.85x = 256,634.28
  5. Step 5: Solve for x
    x = 256,634.28/511.85
  6. Step 6: Final answer
    x = 501.39

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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.