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Finding the Fourth Proportional to 592.98, 818.01 and 494.70

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Solution

The fourth proportional to 592.98, 818.01 and 494.70 is: 682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.98 : 818.01 = 494.70 : x
  2. Step 2: Convert to fraction form
    592.98/818.01 = 494.70/x
  3. Step 3: Cross multiply
    592.98x = 818.01 × 494.70
  4. Step 4: Simplify right side
    592.98x = 404,669.55
  5. Step 5: Solve for x
    x = 404,669.55/592.98
  6. Step 6: Final answer
    x = 682.43

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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.