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Finding the Fourth Proportional to 592.54, 817.51 and 343.84

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Solution

The fourth proportional to 592.54, 817.51 and 343.84 is: 474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.54 : 817.51 = 343.84 : x
  2. Step 2: Convert to fraction form
    592.54/817.51 = 343.84/x
  3. Step 3: Cross multiply
    592.54x = 817.51 × 343.84
  4. Step 4: Simplify right side
    592.54x = 281,094.09
  5. Step 5: Solve for x
    x = 281,094.09/592.54
  6. Step 6: Final answer
    x = 474.39

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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.