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Finding the Fourth Proportional to 592.58, 817.64 and 343.80

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Solution

The fourth proportional to 592.58, 817.64 and 343.80 is: 474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.58 : 817.64 = 343.80 : x
  2. Step 2: Convert to fraction form
    592.58/817.64 = 343.80/x
  3. Step 3: Cross multiply
    592.58x = 817.64 × 343.80
  4. Step 4: Simplify right side
    592.58x = 281,104.63
  5. Step 5: Solve for x
    x = 281,104.63/592.58
  6. Step 6: Final answer
    x = 474.37

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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.