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Finding the Fourth Proportional to 511.92, 704.34 and 437.94

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Solution

The fourth proportional to 511.92, 704.34 and 437.94 is: 602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.92 : 704.34 = 437.94 : x
  2. Step 2: Convert to fraction form
    511.92/704.34 = 437.94/x
  3. Step 3: Cross multiply
    511.92x = 704.34 × 437.94
  4. Step 4: Simplify right side
    511.92x = 308,458.66
  5. Step 5: Solve for x
    x = 308,458.66/511.92
  6. Step 6: Final answer
    x = 602.55

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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.