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Finding the Fourth Proportional to 592.96, 818.36 and 344.35

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Solution

The fourth proportional to 592.96, 818.36 and 344.35 is: 475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.96 : 818.36 = 344.35 : x
  2. Step 2: Convert to fraction form
    592.96/818.36 = 344.35/x
  3. Step 3: Cross multiply
    592.96x = 818.36 × 344.35
  4. Step 4: Simplify right side
    592.96x = 281,800.54
  5. Step 5: Solve for x
    x = 281,800.54/592.96
  6. Step 6: Final answer
    x = 475.25

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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.