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Finding the Fourth Proportional to 573.53, 792.12 and 511.37

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Solution

The fourth proportional to 573.53, 792.12 and 511.37 is: 706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.53 : 792.12 = 511.37 : x
  2. Step 2: Convert to fraction form
    573.53/792.12 = 511.37/x
  3. Step 3: Cross multiply
    573.53x = 792.12 × 511.37
  4. Step 4: Simplify right side
    573.53x = 405,062.44
  5. Step 5: Solve for x
    x = 405,062.44/573.53
  6. Step 6: Final answer
    x = 706.27

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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.