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Finding the Fourth Proportional to 592.29, 817.14 and 343.47

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Solution

The fourth proportional to 592.29, 817.14 and 343.47 is: 473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.29 : 817.14 = 343.47 : x
  2. Step 2: Convert to fraction form
    592.29/817.14 = 343.47/x
  3. Step 3: Cross multiply
    592.29x = 817.14 × 343.47
  4. Step 4: Simplify right side
    592.29x = 280,664.36
  5. Step 5: Solve for x
    x = 280,664.36/592.29
  6. Step 6: Final answer
    x = 473.87

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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.