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Finding the Fourth Proportional to 592.21, 817.07 and 343.52

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Solution

The fourth proportional to 592.21, 817.07 and 343.52 is: 473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.21 : 817.07 = 343.52 : x
  2. Step 2: Convert to fraction form
    592.21/817.07 = 343.52/x
  3. Step 3: Cross multiply
    592.21x = 817.07 × 343.52
  4. Step 4: Simplify right side
    592.21x = 280,679.89
  5. Step 5: Solve for x
    x = 280,679.89/592.21
  6. Step 6: Final answer
    x = 473.95

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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.