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Finding the Fourth Proportional to 592.29, 817.34 and 343.59

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Solution

The fourth proportional to 592.29, 817.34 and 343.59 is: 474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.29 : 817.34 = 343.59 : x
  2. Step 2: Convert to fraction form
    592.29/817.34 = 343.59/x
  3. Step 3: Cross multiply
    592.29x = 817.34 × 343.59
  4. Step 4: Simplify right side
    592.29x = 280,828.13
  5. Step 5: Solve for x
    x = 280,828.13/592.29
  6. Step 6: Final answer
    x = 474.14

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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.