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Finding the Fourth Proportional to 535.47, 806.37 and 467.82

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Solution

The fourth proportional to 535.47, 806.37 and 467.82 is: 704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.47 : 806.37 = 467.82 : x
  2. Step 2: Convert to fraction form
    535.47/806.37 = 467.82/x
  3. Step 3: Cross multiply
    535.47x = 806.37 × 467.82
  4. Step 4: Simplify right side
    535.47x = 377,236.01
  5. Step 5: Solve for x
    x = 377,236.01/535.47
  6. Step 6: Final answer
    x = 704.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.