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Finding the Fourth Proportional to 592.89, 818.24 and 344.30

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Solution

The fourth proportional to 592.89, 818.24 and 344.30 is: 475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.89 : 818.24 = 344.30 : x
  2. Step 2: Convert to fraction form
    592.89/818.24 = 344.30/x
  3. Step 3: Cross multiply
    592.89x = 818.24 × 344.30
  4. Step 4: Simplify right side
    592.89x = 281,714.22
  5. Step 5: Solve for x
    x = 281,714.22/592.89
  6. Step 6: Final answer
    x = 475.15

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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.