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Finding the Fourth Proportional to 573.50, 791.96 and 542.81

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Solution

The fourth proportional to 573.50, 791.96 and 542.81 is: 749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.50 : 791.96 = 542.81 : x
  2. Step 2: Convert to fraction form
    573.50/791.96 = 542.81/x
  3. Step 3: Cross multiply
    573.50x = 791.96 × 542.81
  4. Step 4: Simplify right side
    573.50x = 429,883.81
  5. Step 5: Solve for x
    x = 429,883.81/573.50
  6. Step 6: Final answer
    x = 749.58

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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.