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Finding the Fourth Proportional to 573.88, 795.89 and 538.24

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Solution

The fourth proportional to 573.88, 795.89 and 538.24 is: 746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.88 : 795.89 = 538.24 : x
  2. Step 2: Convert to fraction form
    573.88/795.89 = 538.24/x
  3. Step 3: Cross multiply
    573.88x = 795.89 × 538.24
  4. Step 4: Simplify right side
    573.88x = 428,379.83
  5. Step 5: Solve for x
    x = 428,379.83/573.88
  6. Step 6: Final answer
    x = 746.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.