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Finding the Fourth Proportional to 592.37, 817.51 and 343.77

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Solution

The fourth proportional to 592.37, 817.51 and 343.77 is: 474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.37 : 817.51 = 343.77 : x
  2. Step 2: Convert to fraction form
    592.37/817.51 = 343.77/x
  3. Step 3: Cross multiply
    592.37x = 817.51 × 343.77
  4. Step 4: Simplify right side
    592.37x = 281,035.41
  5. Step 5: Solve for x
    x = 281,035.41/592.37
  6. Step 6: Final answer
    x = 474.43

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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.