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Finding the Fourth Proportional to 457.49, 685.77 and 402.82

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Solution

The fourth proportional to 457.49, 685.77 and 402.82 is: 603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.49 : 685.77 = 402.82 : x
  2. Step 2: Convert to fraction form
    457.49/685.77 = 402.82/x
  3. Step 3: Cross multiply
    457.49x = 685.77 × 402.82
  4. Step 4: Simplify right side
    457.49x = 276,241.87
  5. Step 5: Solve for x
    x = 276,241.87/457.49
  6. Step 6: Final answer
    x = 603.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.