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Finding the Fourth Proportional to 497.09, 685.94 and 287.24

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Solution

The fourth proportional to 497.09, 685.94 and 287.24 is: 396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.09 : 685.94 = 287.24 : x
  2. Step 2: Convert to fraction form
    497.09/685.94 = 287.24/x
  3. Step 3: Cross multiply
    497.09x = 685.94 × 287.24
  4. Step 4: Simplify right side
    497.09x = 197,024.54
  5. Step 5: Solve for x
    x = 197,024.54/497.09
  6. Step 6: Final answer
    x = 396.35

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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.