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Finding the Fourth Proportional to 592.07, 817.15 and 343.54

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Solution

The fourth proportional to 592.07, 817.15 and 343.54 is: 474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.07 : 817.15 = 343.54 : x
  2. Step 2: Convert to fraction form
    592.07/817.15 = 343.54/x
  3. Step 3: Cross multiply
    592.07x = 817.15 × 343.54
  4. Step 4: Simplify right side
    592.07x = 280,723.71
  5. Step 5: Solve for x
    x = 280,723.71/592.07
  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.