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Finding the Fourth Proportional to 592.23, 816.86 and 513.41

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Solution

The fourth proportional to 592.23, 816.86 and 513.41 is: 708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.23 : 816.86 = 513.41 : x
  2. Step 2: Convert to fraction form
    592.23/816.86 = 513.41/x
  3. Step 3: Cross multiply
    592.23x = 816.86 × 513.41
  4. Step 4: Simplify right side
    592.23x = 419,377.44
  5. Step 5: Solve for x
    x = 419,377.44/592.23
  6. Step 6: Final answer
    x = 708.13

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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.