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Finding the Fourth Proportional to 592.86, 818.16 and 344.26

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Solution

The fourth proportional to 592.86, 818.16 and 344.26 is: 475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.86 : 818.16 = 344.26 : x
  2. Step 2: Convert to fraction form
    592.86/818.16 = 344.26/x
  3. Step 3: Cross multiply
    592.86x = 818.16 × 344.26
  4. Step 4: Simplify right side
    592.86x = 281,659.76
  5. Step 5: Solve for x
    x = 281,659.76/592.86
  6. Step 6: Final answer
    x = 475.09

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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.