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Finding the Fourth Proportional to 592.96, 818.32 and 494.56

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Solution

The fourth proportional to 592.96, 818.32 and 494.56 is: 682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.96 : 818.32 = 494.56 : x
  2. Step 2: Convert to fraction form
    592.96/818.32 = 494.56/x
  3. Step 3: Cross multiply
    592.96x = 818.32 × 494.56
  4. Step 4: Simplify right side
    592.96x = 404,708.34
  5. Step 5: Solve for x
    x = 404,708.34/592.96
  6. Step 6: Final answer
    x = 682.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.