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Finding the Fourth Proportional to 497.00, 685.73 and 339.46

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Solution

The fourth proportional to 497.00, 685.73 and 339.46 is: 468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.00 : 685.73 = 339.46 : x
  2. Step 2: Convert to fraction form
    497.00/685.73 = 339.46/x
  3. Step 3: Cross multiply
    497.00x = 685.73 × 339.46
  4. Step 4: Simplify right side
    497.00x = 232,777.04
  5. Step 5: Solve for x
    x = 232,777.04/497.00
  6. Step 6: Final answer
    x = 468.36

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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.